Open access peer-reviewed Edited Volume

Mathematical Theorems

Boundary Value Problems and Approximations

Edited by Lyudmila Alexeyeva

Institute of Mathematics and Mathematical Modeling

The main content of this book is related to construction of analytical solutions of differential equations and systems of mathematical physics, to development of analytical methods for solving boundary value problems for such equations and the study of properties of their solutions. A wide class of equations (elliptic, parabolic, and hyperbolic) is considered here, on the basis of which complex wave processes in biological and physical media can be simulated.The method of generalized functions presented in the book for solving boundary value problems of mathematical physics is universal for constructing solutions of boundary value problems for systems of linear differential equations with constant coefficients of any type. In the last sections of the book, the issues of calculating functions based on Padé approximations, binomial expansions, and fractal representations are considered. The book is intended for specialists in the field of mathematical and theoretical physics, mechanics and biophysics, students of mechanics, mathematics, physics and biology departments of higher educational institutions.

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Mathematical TheoremsBoundary Value Problems and ApproximationsEdited by Lyudmila Alexeyeva

Published: December 9th 2020

DOI: 10.5772/intechopen.83329

ISBN: 978-1-83880-072-7

Print ISBN: 978-1-83880-071-0

eBook (PDF) ISBN: 978-1-83880-341-4

Copyright year: 2020

Books open for chapter submissions

820 Total Chapter Downloads

2 Crossref Citations

4 Dimensions Citations

chaptersDownloads

Open access peer-reviewed

1. Exact Traveling Wave Solutions of One-Dimensional Parabolic-Parabolic Models of Chemotaxis

By Maria Vladimirovna Shubina

109

Open access peer-reviewed

2. Generalized and Fundamental Solutions of Motion Equations of Two-Component Biot’s Medium

By Lyudmila Alexeyeva and Yergali Kurmanov

91

Open access peer-reviewed

3. Boundary Integral Equations of no Stationary Boundary Value Problems for the Klein-Gordon Equation

By Bayegizova Aigulim and Dadayeva Assiyat

115

Open access peer-reviewed

4. Singular Boundary Integral Equations of Boundary Value Problems for Hyperbolic Equations of Mathematical Physics

By Lyudmila A. Alexeyeva and Gulmira K. Zakiryanova

129

Open access peer-reviewed

5. Padé Approximation to Solve the Problems of Aerodynamics and Heat Transfer in the Boundary Layer

By Igor Andrianov and Anatoly Shatrov

82

Open access peer-reviewed

6. Alternative Representation for Binomials and Multinomies and Coefficient Calculation

By José Alfredo Sánchez de León

115

Open access peer-reviewed

7. How Are Fractal Interpolation Functions Related to Several Contractions?

By SongIl Ri and Vasileios Drakopoulos

179

Edited Volume and chapters are indexed in

  • Worldcat
  • OpenAIRE
  • Google Scholar
  • AZ ebsco
  • Base
  • CNKI

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