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- W2619961617 abstract "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." @default.
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- W2619961617 date "2017-09-20" @default.
- W2619961617 modified "2023-09-24" @default.
- W2619961617 title "The method of lines solution of the Forced Korteweg-de Vries-Burgers equation" @default.
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- W2619961617 doi "https://doi.org/10.11113/matematika.v33.n1.944" @default.
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