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  • 1
    Online Resource
    Online Resource
    Topics in Integral and Integro-Differential Equations : Theory and Applications (2021)
    Cham :Springer International Publishing :
    Details
    UID:
    almahu_9948674185602882
    Format: IX, 255 p. 56 illus., 33 illus. in color. , online resource.
    Edition: 1st ed. 2021.
    ISBN: 9783030655099
    Series Statement: Studies in Systems, Decision and Control, 340
    Content: This book includes different topics associated with integral and integro-differential equations and their relevance and significance in various scientific areas of study and research. Integral and integro-differential equations are capable of modelling many situations from science and engineering. Readers should find several useful and advanced methods for solving various types of integral and integro-differential equations in this book. The book is useful for graduate students, Ph.D. students, researchers and educators interested in mathematical modelling, applied mathematics, applied sciences, engineering, etc. Key Features • New and advanced methods for solving integral and integro-differential equations • Contains comparison of various methods for accuracy • Demonstrates the applicability of integral and integro-differential equations in other scientific areas • Examines qualitative as well as quantitative properties of solutions of various types of integral and integro-differential equations.
    Note: Wavelet-Galerkin method for second-order integro-differential equations on product domains -- Analysis and spectral element solution of nonlinear integral equations of Hammerstein type -- Approximate methods for solving hypersingular integral equations -- Solutions of integral equations by reproducing kernel Hilbert space method -- Restricted global convergence domains for integral equations of the Fredholm-Hammerstein type -- Boundary integral equation formulation for fractional order theory of thermo-viscoelasticity -- Spectral methods for solving integro-differential equations and bibiliometric analysis -- An efficient numerical algorithm to solve Volterra integral equation of second kind -- An integral equation method for wave scattering by a pair of horizontal porous plates.
    In: Springer Nature eBook
    Additional Edition: Printed edition: ISBN 9783030655082
    Additional Edition: Printed edition: ISBN 9783030655105
    Additional Edition: Printed edition: ISBN 9783030655112
    Language: English
    DOI: 10.1007/978-3-030-65509-9
    URL: https://doi.org/10.1007/978-3-030-65509-9
    URL: Volltext  (URL des Erstveröffentlichers)
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  • 2
    Online Resource
    Online Resource
    Computational Methods for Biological Models (2023)
    Singapore :Springer Nature Singapore :
    Details
    UID:
    almahu_9949567209802882
    Format: XI, 245 p. 92 illus., 88 illus. in color. , online resource.
    Edition: 1st ed. 2023.
    ISBN: 9789819950010
    Series Statement: Studies in Computational Intelligence, 1109
    Content: This book discusses computational methods related to biological models using mathematical tools and techniques. The book chapters concentrate on numerical and analytical techniques that provide a global solution for biological models while keeping long-term benefits in mind. The solutions are useful in closely understanding biological models, and the results will be very useful for mathematicians, engineers, doctors, scientists and researchers working on real-life biological models. This book provides significant and current knowledge of biological models related to real-life applications. The book covers both methods and applications.
    Note: 1. Exponential time-differencing method for the solution of diffusive HIV model -- 2. An effective technique for solving a model describing biological species living together -- 3. Neuro-Swarming Integrated Heuristic with an Interior-Point Scheme for Novel design of Lane-Emden Nonlinear Prediction Singular Differential Model -- 4. A fitted operator method for a system of delay model of tumor cells dynamics within their micro-environment -- 5. A Mathematical Model to Study Regulatory Properties and Dynamical Behaviour of Glycolytic Pathway using Bifurcation Analysis -- 6. On solutions of fractional biological models using reproducing kernel Hilbert space method -- 7. An operational matrix based method to find the solution of the fractional tumour immune vitamins model -- 8. Analysis of a fractional stage-structured model with Crowley-Martin type functional response by Lagrange polynomial based method -- 9. Qualitative Theory and Approximate Solution to Typhoid Fever Model Subject to Non Singular Kernel Type Derivative -- 10. Study of the SIRI epidemic model described by the Caputo derivative -- 11. Unlocking Biological systems through mathematical Modelling -- 12. Implementation of vaccination in epidemic model for COVID-19.
    In: Springer Nature eBook
    Additional Edition: Printed edition: ISBN 9789819950003
    Additional Edition: Printed edition: ISBN 9789819950027
    Additional Edition: Printed edition: ISBN 9789819950034
    Language: English
    Subjects: Computer Science
    RVK:
    ST 300
    DOI: 10.1007/978-981-99-5001-0
    URL: https://doi.org/10.1007/978-981-99-5001-0
    URL: Volltext  (URL des Erstveröffentlichers)
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    BTU Cottbus
  • 3
    Online Resource
    Online Resource
    Methods of mathematical modelling : infectious diseases (2022)
    London, UK :Academic Press,
    Details
    UID:
    almahu_9949331095702882
    Format: 1 online resource (238 pages)
    ISBN: 0-323-99947-6
    Content: "Methods of Mathematical Modeling: Infectious Diseases presents computational methods related to biological systems and their numerical treatment via mathematical tools and techniques. [...] The authors deal with methods as well as applications, including stability analysis of biological models, bifurcation scenarios, chaotic dynamics, and non-linear differential equations arising in biology. The book focuses primarily on infectious disease modeling and computational modeling of other real-world medical issues, including COVID-19, smoking, cancer and diabetes. The book provides the solution of these models so as to provide actual remedies."--
    Note: Description based upon print version of record.
    Additional Edition: Print version: Singh, Harendra Methods of Mathematical Modelling San Diego : Elsevier Science & Technology,c2022
    Additional Edition: ISBN 9780323998888
    Language: English
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    HU Berlin
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    Charité
  • 4
    Book
    Book
    Handbook of fractional calculus for engineering and science (2022)
    Boca Raton : CRC Press, Taylor & Francis Group
    Details
    UID:
    b3kat_BV048239180
    Format: xv, 301 Seiten
    ISBN: 9781032047799
    Series Statement: Advances in applied mathematics
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-1-00-054010-9
    Language: English
    Subjects: Mathematics
    RVK:
    SK 420
    Keywords: Gebrochene Analysis
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  • 5
    Book
    Book
    Computational methods for biological models / (2023)
    Singapore :Springer,
    Details
    UID:
    almahu_BV049429220
    Format: xi, 245 Seiten : , Illustrationen, Diagramme (überwiegend farbig).
    ISBN: 978-981-99-5000-3
    Series Statement: Studies in computational intelligence volume 1109
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-981-99-5001-0
    Language: English
    Subjects: Computer Science
    RVK:
    ST 300
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  • 6
    Online Resource
    Online Resource
    Advanced numerical methods for differential equations : applications in science and engineering (2021)
    Boca Raton :CRC Press,
    Details
    UID:
    almahu_9949386766502882
    Format: 1 online resource.
    Edition: First edition.
    ISBN: 9781003097938 , 1003097936 , 1000381080 , 9781000381085 , 9781000381115 , 1000381110
    Series Statement: Mathematics and its applications : modelling, engineering, and social sciences
    Content: "Mathematical models are used to convert real-life problems using mathematical concepts and language. These models are governed by differential equations whose solutions make it easy to understand real-life problems and can be applied to engineering and science disciplines. This book presents numerical methods for solving various mathematical models. This book offers real-life applications, includes research problems on numerical treatment, and shows how to develop the numerical methods for solving problems. The book also covers theory and applications in engineering and science. Engineers, mathematicians, scientists, and researchers working on real-life mathematical problems will find this book useful"--
    Note: Stability and convergence analysis of numerical scheme for the generalized fractional diffusion-reaction equation / Ndolane Sene.
    Additional Edition: Print version: Advanced numerical methods for differential equations Boca Raton : CRC Press, 2021. ISBN 9780367473112
    Language: English
    Keywords: Electronic books. ; Electronic books.
    DOI: 10.1201/9781003097938
    URL: https://www.taylorfrancis.com/books/9781003097938
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  • 7
    Online Resource
    Online Resource
    Special functions in fractional calculus and engineering / (2023)
    Boca Raton ; : CRC Press, Taylor & Francis Group,
    Details
    UID:
    almahu_9949530754302882
    Format: 1 online resource.
    ISBN: 9781000899801 , 1000899802 , 9781003368069 , 1003368069
    Series Statement: Mathematics and its applications : modelling, engineering, and social sciences
    Content: "Special functions play a very important role in solving various families of ordinary and partial differential equations as well as their fractional-order analogs which model real-life situations. Due to the non-local nature and memory effect, fractional calculus is capable of modeling many situations which arise in engineering. This book includes a collection of related topics associated with such equations and their relevance and significance in engineering. Special Functions in Fractional Calculus and Engineering highlights the significance and applicability of special functions in solving fractional-order differential equations with engineering applications. The book focuses on the non-local nature and memory effect of fractional calculus in modeling relevant to engineering science and covers a variety of important and useful methods using special functions for solving various types of fractional-order models relevant to engineering science. The book goes on to illustrate the applicability and usefulness of special functions by justifying their numerous and widespread occurrences in the solution of fractional-order differential, integral, and integrodifferential equations. The book holds a wide variety of interconnected fundamental and advanced topics with interdisciplinary applications that combine applied mathematics and engineering sciences. useful to graduate students, Ph.D. scholars, researchers, and educators interested in special functions, fractional calculus, mathematical modeling, and engineering"--
    Additional Edition: Print version: Special functions in fractional calculus and engineering Boca Raton ; London : CRC Press, Taylor & Francis Group, 2023 ISBN 9781032435008
    Language: English
    URL: https://www.taylorfrancis.com/books/9781003368069
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    Online Resource
    HU Berlin
  • 8
    Online Resource
    Online Resource
    Computational Methods for Biological Models / (2023)
    Singapore :Springer Nature Singapore Pte Ltd.,
    Details
    UID:
    almafu_9961308465202883
    Format: 1 online resource (254 pages)
    Edition: First edition.
    ISBN: 981-9950-01-5
    Series Statement: Studies in Computational Intelligence Series ; Volume 1109
    Note: Intro -- Preface -- Contents -- About the Editors -- Exponential-Time-Differencing Method for the Solution of Diffusive HIV-I Model -- 1 Introduction -- 2 Numerical Techniques for Reaction-Diffusion Problems -- 2.1 Spectral Method for Spatial Discretization -- 2.2 The ETDRK4 Method -- 3 The HIV-I Model and Its Stability Analysis -- 4 Numerical Results and Discussions -- 4.1 One Dimensional Case -- 4.2 Two Dimensional Case -- 5 Conclusion -- References -- An Effective Technique for Solving a Model Describing Biological Species Living Together -- 1 Introduction -- 2 Development of the Methodology -- 2.1 Type-I -- 2.2 Type-II -- 3 Implementation and Numerical Results -- 4 Conclusion -- References -- Numerical Solution for a Tumor Cells Dynamics Within Their Micro-environment -- 1 Introduction -- 2 Mathematical Analysis -- 2.1 Solution Continuously Depending on the Data -- 2.2 Local Stability -- 2.3 Hopf Bifurcation Analysis -- 2.4 Global Stability Analysis -- 3 Derivation and Analysis of the Numerical Method -- 4 Numerical Results and Discussions -- 5 Conclusion -- References -- A Mathematical Model to Study Regulatory Properties and Dynamical Behaviour of Glycolytic Pathway Using Bifurcation Analysis -- 1 Introduction -- 2 Glycolytic Pathway, Mass Balance Equations, and S-System Representation -- 3 Interrelation Between Certain Parameters -- 4 Bifurcation Analysis of the Glycolytic Pathway -- 5 Second Pathway -- 5.1 When Forcing Coefficient is Equal to Zero i.e. f0 = 0 -- 5.2 When Forcing Coefficient is Not Equal to Zero i.e. f0 neq0 -- 6 Conclusion -- 7 Future Work -- References -- On Solutions of Biological Models Using Reproducing Kernel Hilbert Space Method -- 1 Introduction -- 2 Useful Mathematical Concepts -- 3 The RKHS Approach -- 4 Analysis of Convergence -- 5 Numerical Experiments -- 6 Computing Outcomes and Analysis -- 7 Conclusion. , References -- A Study of the Fractional Tumour-Immune Unhealthy Diet Model Using the Pseudo-operational Matrix Method -- 1 Introduction -- 2 Preliminaries -- 3 Fractional TIUNHD Model -- 4 Stability -- 5 Function Approximation -- 6 Pseudo-operational Matrix -- 7 Numerical Method to Solve the Fractional TIUNHD Model with Caputo's Derivative -- 8 Discussion of Numerical Results -- 9 Conclusion -- References -- Analysis of a Fractional Stage-Structured Model With Crowley-Martin Type Functional Response by Lagrange Polynomial Based Method -- 1 Introduction -- 2 Preliminaries -- 3 Mathematical Model Formulation -- 4 Boundedness -- 5 Existence and Uniqueness of Solutions of the Model -- 6 Existence and Stability of the Points of Equilibrium of the System (4) -- 6.1 Existence of Points of Equilibrium -- 6.2 Stability Analysis -- 7 Numerical Simulation -- 8 Conclusion -- References -- Qualitative Theory and Approximate Solution to Norovirus Model Under Non Singular Kernel Type Derivatives -- 1 Introduction -- 2 Formulation of Proposed Model -- 3 Preliminaries -- 4 Theoretical Results by Using CF Concept -- 5 Computational Results of (2) -- 6 Results and Discussion -- 7 Setting of Model (2) in Caputo and Atangana-Baleanu Piecewise Equations Fractional Derivative -- 8 Qualitative Analysis of (2) Using Piecewise Derivative -- 9 Approximate Results Using Piecewise Derivative Concept -- 10 Numerical Simulation and Discussion -- 11 Suberization of This Work -- References -- Study of the SIRI Model Utilizing the Caputo Derivative -- 1 Introduction -- 2 Fractional Calculus Operators -- 3 Fractional SIRI Model Under Caputo Operator -- 4 Stability Investigations -- 5 Results and Discussions -- 5.1 Solution Procedure -- 6 Conclusion -- References -- Implementation of Vaccination in an Epidemic Model for COVID-19 -- 1 Introduction -- 2 Mathematical Hypothesis. , 3 Mathematical Model for Vaccination Epidemic Model -- 3.1 The Mathematical Equation of the Model -- 3.2 Mathematical Analysis -- 3.3 Positivity and Boundedness of the Solutions -- 4 Basic Reproduction Number -- 5 Stability Analysis -- 6 Global Stability for Infection-Free Equilibrium -- 7 Convergence Theorem for Lyapunov Stability -- 8 Global Stability for Endemic Equilibrium -- 9 Simulation and Discussion of Results -- 10 Limitations of the Model -- 11 Conclusion and Future Scope -- References.
    Additional Edition: Print version: Singh, Harendra Computational Methods for Biological Models Singapore : Springer Singapore Pte. Limited,c2023 ISBN 9789819950003
    Language: English
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  • 9
    Online Resource
    Online Resource
    Topics in integral and integro-differential equations : theory and applications (2021)
    Cham, Switzerland :Springer,
    Details
    UID:
    almafu_9959825517302883
    Format: 1 online resource (ix, 255 pages) : , illustrations
    ISBN: 3-030-65509-1
    Series Statement: Studies in Systems, Decision and Control ; v.340
    Additional Edition: ISBN 3-030-65508-3
    Language: English
    Keywords: Llibres electrònics ; Llibres electrònics
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    Charité
  • 10
    Book
    Book
    Advanced numerical methods for differential equations : applications in science and engineering (2021)
    Boca Raton : CRC Press, Taylor & Francis Group
    Details
    UID:
    b3kat_BV047437535
    Format: xvi, 319 Seiten , Illustrationen, Diagramme , 25 cm
    Edition: First edition
    ISBN: 9780367473112 , 9780367564803 , 0367473119
    Series Statement: Mathematics and its applications
    Note: Stability and convergence analysis of numerical scheme for the generalized fractional diffusion-reaction equation / Ndolane Sene
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-1-003-09793-8
    Language: English
    Keywords: Partielle Differentialgleichung ; Numerisches Verfahren
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