Applied Algebraic and Differential Calculus
eBook - PDF

Applied Algebraic and Differential Calculus

,
  1. 461 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Applied Algebraic and Differential Calculus

,

About this book

Applied Algebraic and Differential Calculus is an edited book consisting of 18 open-access articles on mathematical analysis and computational methodologies for solving differential equations, as well as matrix eigenvalue, boundary value, and bifurcation problems. It includes a variety of algebraic and numerical strategies from decomposition to neural network based methods.Reading this book requires some knowledge in advanced calculus, differential equations, matrix computations. This book is intended to reach an academic audience ranging from graduate student to experienced researchers.

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Information

Publisher
Arcler Press
Year
2022
eBook ISBN
9781774693582
Edition
0
Topic
Mathematics
Index
Mathematics

Table of contents

  1. Cover
  2. Title Page
  3. Copyright
  4. DECLARATION
  5. ABOUT THE EDITOR
  6. TABLE OF CONTENTS
  7. List of Contributors
  8. List of Abbreviations
  9. Summary
  10. Preface
  11. Chapter 1 The Eight Epochs of Math as Regards Past and Future Matrix Computations
  12. Chapter 2 Solving Second-Order Differential Equations by Decomposition
  13. Chapter 3 Decomposition of Ordinary Differential Equations
  14. Chapter 4 Solution of Nonlinear Partial Differential Equations by Mixture Adomian Decomposition Method and Sumudu Transform
  15. Chapter 5 Higher Order Haar Wavelet Method for Solving Differential Equations
  16. Chapter 6 Solution of Fractional Differential Equation Systems and Computation of Matrix Mittag–Leffler Functions
  17. Chapter 7 Computation of Gram Matrix and Its Partial Derivative Using Precise Integration Method for Linear Time-Invariant Systems
  18. Chapter 8 Matrix Iteration Algorithms for Solving the Generalized Lyapunov Matrix Equation
  19. Chapter 9 A Brief Summary of the Finite Element Method for Differential Equations
  20. Chapter 10 An Efficient Finite Element Method and Error Analysis for Eigenvalue Problem of Schrödinger Equation with an Inverse Square Potential on Spherical Domain
  21. Chapter 11 Solving Fractional Differential Equations by Using Triangle Neural Network
  22. Chapter 12 A Novel Improved Extreme Learning Machine Algorithm in Solving Ordinary Differential Equations by Legendre Neural Network Methods
  23. Chapter 13 Bifurcation Theory of Dynamical Chaos
  24. Chapter 14 Bifurcation Analysis in a Two-Dimensional Neutral Differential Equation
  25. Chapter 15 Observations on the Computation of Eigenvalue and Eigenvector Jacobians
  26. Chapter 16 A Note on Some Nonlinear Principal Eigenvalue Problems
  27. Chapter 17 Eigenvalue Criteria for Existence of Positive Solutions to Fractional Boundary Value Problem
  28. Chapter 18 Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations
  29. Index
  30. Back Cover