Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (7): 872-881 .
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LIU Ru-xun, WU Ling-ling
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Abstract: 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.
2010 MSC Number:
O175.5
35Q53
LIU Ru-xun;WU Ling-ling. SMALL-STENCIL PADÉ SCHEMES TO SOLVENONLINEAR EVOLUTION EQUATIONS. Applied Mathematics and Mechanics (English Edition), 2005, 26(7): 872-881 .
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