Mathematics Applied to Engineering and Management

7

Differential Quadrature Method: A Robust Technique to Solve Differential Equations

G. Arora and M. Bashir

CONTENTS

7.1      Introduction

7.2      Origin of Differential Quadrature Method

7.3      Developments in the DQM

7.3.1      Bellman’s First Approach

7.3.2      Bellman’s Second Approach

7.3.3      Other Famous Approaches

7.4      Approaches to Obtain Higher-order Derivatives

7.5      Introduction to Generalized Equal Width Equation

7.6      Hybrid Basis Functions DQM

7.7      What Is a B-spline?

7.7.1      Linear Combinations of Basis Functions

7.8      Determination of the Weighting Coefficients

7.9      Method Implementation

7.10    Results

7.11    Summary

References

List of Figures

7.1      Introduction

Partial differential equations ...