MKSOR iterative method for the Grünwald implicit finite difference solution of one-dimensional time-fractional parabolic equations

2019 ◽  
Author(s):  
Fatihah Anas Muhiddin ◽  
Jumat Sulaiman ◽  
Andang Sunarto
Keyword(s):  
Finite Difference ◽  
Iterative Method ◽  
Parabolic Equations ◽  
One Dimensional ◽  
Finite Difference Solution ◽  
Implicit Finite Difference ◽  
Difference Solution

scholarly journals A finite difference solution of the regularized long-wave equation

2006 ◽  
Vol 2006 ◽  
pp. 1-14 ◽  
Author(s):  
S. Kutluay ◽  
A. Esen
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Undular Bore ◽  
One Dimensional ◽  
Long Wave ◽  
Regularized Long Wave Equation ◽  
Finite Difference Solution ◽  
Implicit Finite Difference ◽  
Waves Interaction ◽  
The One

A linearized implicit finite difference method to obtain numerical solution of the one-dimensional regularized long-wave (RLW) equation is presented. The performance and the accuracy of the method are illustrated by solving three test examples of the problem: a single solitary wave, two positive solitary waves interaction, and an undular bore. The obtained results are presented and compared with earlier work.

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