Abstract

Split-step orthogonal spline collocation (SSOSC) scheme is constructed by combining the orthogonal spline collocation method with the split step technique for the complex Ginzburg-Landau equation in two dimensions. The truncation error of the scheme is studied for the plane wave solution, and the stability is also analyzed. Convergence rate is numerically verified. Numerical results show that the SSOSC method is efficient and superior.

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