A spectral Rayleigh–Ritz scheme for nonlinear partial differential systems of first order
Journal of the Egyptian Mathematical Society(2016)
摘要
Nonlinear systems of partial differential problems of first order with Dirichlet boundary conditions is considered. ultraspherical integral zero- boundary (UIZB) method is combined with Rayleigh–Ritz method to approximate the unknowns. The approach converts the problem to be a multi-objective constrained optimization problem which is easier to solve. Accurate results can be obtained by selecting a limited number of collocation points. Numerical examples are included to demonstrate the accuracy and efficiency of the propped method.
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关键词
Ultraspherical integral zeros method,Rayleigh–Ritz method,Boundary value problems,Nonlinear first-order partial differential systems,Multi-objective constrained optimization
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