Small-Stencil Pad Schemes to Solve Nonlinear Evolution Equations

LIU Ru-xun; WU Ling-ling

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LIU Ru-xun, WU Ling-ling. Small-Stencil Pad Schemes to Solve Nonlinear Evolution Equations[J]. Applied Mathematics and Mechanics, 2005, 26(7): 801-809.

Citation:

LIU Ru-xun, WU Ling-ling. Small-Stencil Pad Schemes to Solve Nonlinear Evolution Equations[J]. Applied Mathematics and Mechanics, 2005, 26(7): 801-809.

Citation:

LIU Ru-xun, WU Ling-ling. Small-Stencil Pad Schemes to Solve Nonlinear Evolution Equations[J]. Applied Mathematics and Mechanics, 2005, 26(7): 801-809.

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Small-Stencil Pad Schemes to Solve Nonlinear Evolution Equations

Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China

Received Date: 2003-09-03
Rev Recd Date: 2005-03-11
Publish Date: 2005-07-15

Abstract

Abstract

A set of small-stencil new Pad schemes with the same denominator are presented to solve high-order non-linear evoltuion equations. Using this scheme, the fourth-order precision cannot 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.
- evolution equation,
- compact scheme,
- Pad scheme,
- node stencil,
- soliton

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References(10)

References

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