Numerical Methods for Ordinary Differential Equations with Programs

✍ Scribed by Ashok Kumar Singh, Arvind Kumar Singh

• Publisher: Alpha Science Intl
• Year: 2018
• Tongue: English
• Leaves: 261
• Category: Library

✦ Synopsis

Differential equations find its applications in all fields of science and engineering because it can describe the modeling of nearly all systems involving rate of change. Due to this fact, it has widespread use in physics, engineering, economics, social science and also in biology. Many systems involving differential equations are so complex, or the systems they describe are so large, that a purely mathematical analysis is not possible and it provides only the existence of the solution, therefore, we have to seek the approximate solution by means of the numerical methods. Hence in these types of complex systems, the computer simulations and numerical approximations are useful.

The techniques for solving differential equations based on numerical approximations can nowadays be used to handle the complex systems of differential equations on a common PC. This is the first book in which the numerical solution procedures of six important methods are given for all three types of boundary conditions with programs in C.

✦ Table of Contents

Full title page
Copyright
PREFACE
CONTENTS
LIST OF PROGRAMS
Chapter 1_IVP
Chapter 2_shooting
Chapter 3_FDM
Chapter 4_Control_volume
Chapter 5_CSM
Chapter 6_vari_method
Chapter 7_FEM
Appendix_A
Appendix_B
REFERENCES AND BIBLIOGRAPHY
Index