TY - JOUR AU - Mohd Yazid, Nazatulsyima AU - Gaik Tay, Kim AU - King Tiong, Wei AU - Yee Choy, Yaan AU - Md Sudin, Azila AU - Tiong Ong, Chee PY - 2017/09/20 Y2 - 2024/03/28 TI - The method of lines solution of the Forced Korteweg-de Vries-Burgers equation JF - MATEMATIKA JA - MATEMATIKA VL - 33 IS - 1 SE - Articles DO - 10.11113/matematika.v33.n1.944 UR - https://matematika.utm.my/index.php/matematika/article/view/944 SP - 35-41 AB - <p>In this paper, the application of the method of lines (MOL) to the Forced Korteweg-de Vries-Burgers equation with variable coefficient (FKdVB) is presented. The MOL is a powerful technique for solving partial differential equations by typically using finite-difference approximations for the spatial derivatives and ordinary differential equations (ODEs) for the time derivative. The MOL approach of the FKdVB equation leads to a system of ODEs. The solution of the system of ODEs is obtained by applying the Fourth-Order Runge-Kutta (RK4) method. The numerical solution obtained is then compared with its progressive wave solution in order to show the accuracy of the MOL method.</p> ER -