Numerical Solutions of Mrlw Equation by a Fully Implicit Finite-difference Scheme

Volume 15, Issue 3, pp 228-239 http://dx.doi.org/10.22436/jmcs.015.03.07

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Authors

Bilge Inan - Department of Mathematics, Faculty of Muallim Rıfat Education, Kilis 7 Aralık University, Kilis, Turkey Ahmet Refik Bahadir - Department of Mathematics, Faculty of Arts and Science, İnönü University, Malatya, Turkey

Abstract

In the present paper, a fully implicit finite difference method is introduced for the numerical solution of the modified regularized long wave (MRLW) equation. The accuracy of the method is examined by different problems of the MRLW equation. The results and comparisons with analytical and other numerical invariants clearly show that results obtained using the fully implicit finite difference scheme are precise and reliable.

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Keywords

• Modified regularized long wave equation
• Fully implicit finite difference method
• Solitary waves.

MSC

•  65M06
•  65M12
•  65M99
•  76B25
•  74S05

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