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Small-stencil Padé schemes to solve nonlinear evolution equations
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Journal Article
Small-stencil Padé schemes to solve nonlinear evolution equations
2005
Overview
A set of small-stencil new Padé schemes with the same denominator are presented to solve high-order nonlinear evolution equations. Using this scheme, the fourth-order precision can not only be kept, but also the final three-diagonal discrete systems are solved by simple Doolittle methods, or ODE systems by Runge-Kutta technique. Numerical samples show that the schemes are very satisfactory. And the advantage of the schemes is very clear compared to other finite difference schemes.
Publisher
Springer Nature B.V
