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Numerical Solutions of the Regularized Long-Wave (RLW) Equation Using New Modification of Laplace-Decomposition Method
Department of Mathematics, Science Faculty for Girls, King Abdulaziz University, Jeddah, KSA
Department of Mathematics, Science Faculty for Girls, King Abdulaziz University, Jeddah, KSA
Department of Mathematics, Science Faculty for Girls, King Abdulaziz University, Jeddah, KSA
- 1 Department of Mathematics, Science Faculty for Girls, King Abdulaziz University, Jeddah, KSA
- 2 Department of Mathematics, Science Faculty for Girls, King Abdulaziz University, Jeddah, KSA
- 3 Department of Mathematics, Science Faculty for Girls, King Abdulaziz University, Jeddah, KSA
Advances in Pure Mathematics·Volume 03 (2013)·Pages 159–163·Published 30 January 2013·DOI10.4236/apm.2013.31A022
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Abstract
In this paper the new modification of Laplace Adomian decomposition method (ADM) to obtain numerical solution of the regularized long-wave (RLW) equation is presented. The performance of the method is illustrated by solving two test examples of the problem. To see the accuracy of the method, L 2 and L ∞ error norms are calculated.
KeywordsAdomian Decomposition MethodRegularized Long-Wave (RLW)Laplace Transform
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