A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh
J Talwar, RK Mohanty, S Singh - Applied Mathematics and Computation, 2015 - Elsevier
J Talwar, RK Mohanty, S Singh
Applied Mathematics and Computation, 2015•ElsevierIn this paper, we propose a new two level implicit method of order two in time and four in
space directions, based on spline in compression approximation for the numerical solution
of one space dimensional quasi-linear parabolic partial differential equation on a uniform
mesh. The derivation and the stability of the proposed method are discussed in details. We
have extended the method to non-uniform mesh. Numerical results are given to illustrate the
usefulness of the proposed method.
space directions, based on spline in compression approximation for the numerical solution
of one space dimensional quasi-linear parabolic partial differential equation on a uniform
mesh. The derivation and the stability of the proposed method are discussed in details. We
have extended the method to non-uniform mesh. Numerical results are given to illustrate the
usefulness of the proposed method.
Abstract
In this paper, we propose a new two level implicit method of order two in time and four in space directions, based on spline in compression approximation for the numerical solution of one space dimensional quasi-linear parabolic partial differential equation on a uniform mesh. The derivation and the stability of the proposed method are discussed in details. We have extended the method to non-uniform mesh. Numerical results are given to illustrate the usefulness of the proposed method.
Elsevier
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