Solution of linear and nonlinear equations by optical methods
β Scribed by Lewak, George ;Lee, Sing H. ;Cathey, W. Thomas
- Book ID
- 115332629
- Publisher
- The Optical Society
- Year
- 1984
- Tongue
- English
- Weight
- 656 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1559-128X
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## Abstract In this work, accurate solutions to linear and nonlinear diffusion equations were introduced. A polynomialβbased differential quadrature scheme in space and a strong stability preserving RungeβKutta scheme in time have been combined for solving these equations. This scheme needs less st
A new algorithm is proposed for obtaining explicit solutions of the Cauchy problem defined by a certain class of partial differential equations (PDE) of parabolic type. The algorithm exploits the algebraic structure of the problem to transform the PDE into an ordinary matrix differential equation, w