The Improved Residual Power Series Method for Boundary Value Problems
eBook - ePub

The Improved Residual Power Series Method for Boundary Value Problems

  1. 208 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

The Improved Residual Power Series Method for Boundary Value Problems

About this book

This book introduces a semi- analytical method, Improved Residual Power Series Method (IRPSM), for solving boundary value problems (BVPs). Unlike traditional numerical and analytical techniques, IRPSM offers quick convergence and minimal computational time, avoiding the pitfalls of round- off errors, linearization, perturbation, and discretization. This innovative approach has been rigorously compared with existing methods, demonstrating superior accuracy and efficiency. The book is meant for scholars, researchers, and students in mathematics, engineering, and physics.

This book:

  • Explores the application of IRPSM to a wide range of problems, including ordinary and partial differential equations, multi- point BVPs, and complex systems in physics and engineering
  • Highlights IRPSM for its ability to efficiently handle highly nonlinear and complex boundary value problems, providing accurate solutions with reduced computational effort
  • Demonstrates the method's applicability across disciplines such as fluid dynamics and engineering
  • Provides Mathematica codes for each solved problem, allowing readers to understand the solution procedure and implement IRPSM in their own research
  • Offers a new and efficient method for solving BVPs and a practical reference for those seeking to minimize computational time and error in their work.

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Yes, you can access The Improved Residual Power Series Method for Boundary Value Problems by Abdullah Dawar,Hamid Khan in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Chapman and Hall/CRC
Year
2025
eBook ISBN
9781040331590
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Cover
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Table of Contents
  6. Preface
  7. About the Authors
  8. List of Acronyms
  9. 1 Basic Idea of the Improved Residual Power Series Method
  10. 2 IRPSM for the Solution of Two- and Multi-Point Boundary Value Problems
  11. 3 IRPSM for the Solution of Partial Differential Equations with Boundary Value Problems
  12. 4 IRPSM for the Solution of System of ODEs and PDEs with Boundary Value Problems
  13. 5 Applications of IRPSM for Singularly Perturbed and Singularly Perturbed Delay Differential Equations
  14. 6 IRPSM for Heat Transfer Boundary Value Problems
  15. 7 IRPSM for Finite Boundary Value Problems in Fluid Dynamics
  16. Index