In this paper the one-dimensional nonlinear Korteweg–de Vries (KdV) equation is numerically solved using second order spline approximation.
In this paper the one-dimensional nonlinear Korteweg-de Vries (KdV) equation is numerically solved using second order spline approximation.
In this paper, numerical solutions of a coupled modified Korteweg–de Vries equation have been obtained by the quadratic B-spline Galerkin finite element ...
In this paper the one-dimensional nonlinear Korteweg-de Vries (KdV) equation is numerically solved using second order spline approximation.
A small time solutions for the Korteweg-de Vries equation using spline approximation · Exponential finite-difference method applied to Korteweg-de Vries equation ...
ABSTRACT: In this paper, we are going to derive numerical methods for solving the KdV equation using Pade approximation for space direction, trapezoidal and ...
ABSTRACT: In this work, we have obtained numerical solutions of the generalized Korteweg-de Vries (GKdV) equation by using septic B-spline collocation finite ...
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Jan 1, 2000 · In this paper a heat balance integral (HBI) method is applied to the one-dimensional non-linear Korteweg–de Vries (KdV) equation prescribed ...
It is shown that the HBI solutions obtained by the method may be used effectively at small times when the exact solution of the KdV equation is not known.
Also, it is shown that the second order spline approximation may be used effectively at small times when the exact solution of the KdV equation is not known.