
doi: 10.1002/mma.3487
handle: 11499/9693
Summary: A new and efficient numerical method, called Chebyshev wavelet collocation method, is proposed for the solutions of a generalized Burgers-Huxley equation. This method is based on the approximation by the truncated Chebyshev wavelet series. By using the Chebyshev collocation points, an algebraic equation system is obtained and solved. The approximate solutions of the generalized Burgers-Huxley equation are compared with the exact solutions. These calculations demonstrate that the accuracy of the Chebyshev wavelet collocation solutions is quite high even in the case of a small number of grid points.
collocation, Chebyshev wavelets, Generalized Burgers-Huxley equations, Nonlinear equations, Subclass65M70, nonlinear PDE, subclass65M70, 510, generalized Burgers-Huxley equation, numerical example, Chebyshev, Non linear PDE, KdV equations (Korteweg-de Vries equations), Numerical methods for wavelets, nonlinear partial differential equation, Numerical methods, Approximate solution, Collocation, approximate solution, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
collocation, Chebyshev wavelets, Generalized Burgers-Huxley equations, Nonlinear equations, Subclass65M70, nonlinear PDE, subclass65M70, 510, generalized Burgers-Huxley equation, numerical example, Chebyshev, Non linear PDE, KdV equations (Korteweg-de Vries equations), Numerical methods for wavelets, nonlinear partial differential equation, Numerical methods, Approximate solution, Collocation, approximate solution, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
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