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On the Numerical Solution of Partial Differential Equation with Convection Term by using Bernoulli Wavelets |
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PP: 81-87 |
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doi:10.18576/sjm/080302
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Author(s) |
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A. F. Soliman,
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Abstract |
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| A numerical method for solving a partial differential equation with a convection term is presented. The proposed method is based on the Bernoulli wavelet in which Bernoulli polynomial is used. First, we use the 2-point Euler backward differentiation formula, and then we use collocation points that convert the differential equation into a system of algebraic equations. Explaining examples are added to demonstrate the validity and applicability of the method. .
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