Haar wavelet methods for numerical solutions of Harry Dym (HD), BBM Burger's and 2D diffusion equations (Q1670514)

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scientific article; zbMATH DE number 6932350
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Haar wavelet methods for numerical solutions of Harry Dym (HD), BBM Burger's and 2D diffusion equations
scientific article; zbMATH DE number 6932350

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    Haar wavelet methods for numerical solutions of Harry Dym (HD), BBM Burger's and 2D diffusion equations (English)
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    5 September 2018
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    Using Haar wavelet methods, the authors solve some initial boundary value problems of partial differential equations, namely the nonlinear Dym equation of third order, the nonlinear Benjamin-Bona-Mahony-Burgers (BBM-Burgers) equation of third order, and the linear two-dimensional diffusion equation of second order. Numerical examples illustrate the performance of this approach in comparison to other numerical methods.
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    Haar wavelet method
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    numerical solution of partial differential equation
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    Dym equation
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    BBM-Burgers equation
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    diffusion equation
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