Numerical Solutions of Mrlw Equation by a Fully Implicit Finite-difference Scheme
- 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
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.
- Modified regularized long wave equation
- Fully implicit finite difference method
- Solitary waves.
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