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Engineering Mathematics by C. Vijayakumari, P. Sivaramakrishna Das

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20

Applications of Partial Differential Equations

20.0 INTRODUCTION

In Chapter-14 we have indicated that partial differential equations arise in the study of fluid mechanics, heat transfer, electromagnetic theory, quantum mechanics and other areas of physics and engineering. In fact, the areas of applications of partial differential equations is too large compared to ordinary differential equations.

The important partial differential equations that will be discussed in this chapter are the following.

  1. One-dimensional wave equation
    images
  2. One-dimensional heat equation
  3. Steady state two-dimensional heat equation or two dimensional Laplace equation ...

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