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NUMERICAL TECHNIQUES FOR HEAT EQUATION WITH BOUNDARY SPECIFICATIONS

Name: NUMERICAL TECHNIQUES FOR HEAT EQUATION WITH BOUNDARY SPECIFICATIONS
Brand: LAP Lambert Academic Publishing
SKU: 07064105
Price: 43.37 EUR
Availability: InStock
Author: Muhammad A. ur Rehman
ISBN: 9783838363820

Methods, Algorithm and Applications

Muhammad A. ur Rehman

Malik Shahadat Ali Taj

Language

English

Book Paperback

Libristo code: 07064105

Publishers LAP Lambert Academic Publishing, November 2009

Higher-order numerical techniques are developed for the solution of heat equation subject to integra... Full description

Libristo code: 07064105

106 b

43.37 €

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Higher-order numerical techniques are developed for the solution of heat equation subject to integral boundary conditions. The integral conditions are approximated using Simpson's (1/3) rule while the space derivatives are approximated by higher-order finite difference approximations. Then method of lines, semidiscritization approach,is used to transform the model partial differential equations into systems of first-order linear ordinary differential equations whose solutions satisfy recurrence relations involving matrix exponential functions. The methods are higher-order accurate in space and time and do not require the use of complex arithmetic. Parallel algorithms are also developed and implemented on several problems from literature and are found to be highly accurate. Solutions of these problems are compared with the exact solutions and the solutions obtained by alternative techniques where available.

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About the book

Full name NUMERICAL TECHNIQUES FOR HEAT EQUATION WITH BOUNDARY SPECIFICATIONS

Author Muhammad A. ur Rehman, Malik Shahadat Ali Taj

Language

English

Binding Book - Paperback

Date of issue 2010

Number of pages 120

EAN 9783838363820

Libristo code 07064105

Publishers LAP Lambert Academic Publishing

Weight 197

Dimensions 150 x 220 x 7

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