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A numerical solution of the Lax’s 7th-order KdV equation by pseudospectral method and Darvishi’s preconditioning. (English) Zbl 1153.65375

Summary: We solve the Lax’s 7th-order Korteweg-de Vries (KdV) equation by the pseudospectral method. To enhance the accuracy in matrix vector multiplication method Darvishi’s preconditioning. We compare the numerical results with each other because absolute errors are very small.

MSC:

65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
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