Text Book on
Dynamic Relaxation Method
Osama Mohammed Elmardi Suleiman
Assistant Professor in Mechanical Engineering
Department, Nile Valley University, Atbara, Sudan
Contents
Dedication ii
Acknowledgement iv
Content v
Symbols and Abbreviations vii
Preface viii
CHAPTER ONE : Introduction
1.1 General Introduction
Formulation of Dynamic Relaxation Equations
1.3 Finite Difference Approximation
Ordinary Differential Equations
. Partial Differential Equations
CHAPTER TWO : Procedural Steps in Solving Differential Equations using
Dynamic Relaxation (DR) Method
The Dynamic Relaxation (DR) Program
Numerical Instability
Convergence of DR Solution
Convergence to an Invalid Solution
Time Increment
vi
Damping Coefficient
Solved Examples
Solution of Ordinary Differential Equations
Solution of Partial Differential Equations
CHAPTER THREE : Conclusions
Conclusions
Bibliography
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