Nonlinear Stochastic Operator Equations
eBook - PDF

Nonlinear Stochastic Operator Equations

  1. 304 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Nonlinear Stochastic Operator Equations

About this book

Nonlinear Stochastic Operator Equations deals with realistic solutions of the nonlinear stochastic equations arising from the modeling of frontier problems in many fields of science. This book also discusses a wide class of equations to provide modeling of problems concerning physics, engineering, operations research, systems analysis, biology, medicine. This text discusses operator equations and the decomposition method. This book also explains the limitations, restrictions and assumptions made in differential equations involving stochastic process coefficients (the stochastic operator case), which yield results very different from the needs of the actual physical problem. Real-world application of mathematics to actual physical problems, requires making a reasonable model that is both realistic and solvable. The decomposition approach or model is an approximation method to solve a wide range of problems. This book explains an inherent feature of real systems—known as nonlinear behavior—that occurs frequently in nuclear reactors, in physiological systems, or in cellular growth. This text also discusses stochastic operator equations with linear boundary conditions. This book is intended for students with a mathematics background, particularly senior undergraduate and graduate students of advanced mathematics, of the physical or engineering sciences.

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Yes, you can access Nonlinear Stochastic Operator Equations by George Adomian in PDF and/or ePUB format, as well as other popular books in Biological Sciences & System Theory. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Front Cover
  2. Nonlinear Stochastic Operator Equations
  3. Copyright Page
  4. Table of Contents
  5. Foreword
  6. Preface
  7. Acknowledgments
  8. Chapter 1. Introduction
  9. Chapter 2. Operator Equations and the Decomposition Method
  10. Chapter 3. Expansion of Nonlinear Terms: The An Polynomials
  11. Chapter 4. Solution of Differential Equations
  12. Chapter 5. Coupled Nonlinear Stochastic Differential Equations
  13. Chapter 6. Delay Equations
  14. Chapter 7. Discretization versus Decomposition
  15. Chapter 8. Random Eigenvalue Equations
  16. Chapter 9. Partial Differential Equations
  17. Chapter 10. Algebraic Equations
  18. Chapter 11. Convergence
  19. Chapter 12. Boundary Conditions
  20. Chapter 13. Intergral and Integro-Differential Operators
  21. Chapter 14. On Systems of Nonlinear Partial Differential Equations
  22. Chapter 15. Postlude
  23. Index
  24. Errata for "Stochastic Systems"