B-spline collocation algorithm for numerical solution of the generalized Burger's-Huxley equation (Q2846178)
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scientific article; zbMATH DE number 6205781
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | B-spline collocation algorithm for numerical solution of the generalized Burger's-Huxley equation |
scientific article; zbMATH DE number 6205781 |
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B-spline collocation algorithm for numerical solution of the generalized Burger's-Huxley equation (English)
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5 September 2013
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cubic B-spline method
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collocation
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generalized Burger's-Huxley equation
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convergence
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numerical results
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finite-difference
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The cubic B-spline collocation scheme is implemented to find numerical solutions of the generalized Burger's-Huxley equation. The scheme is based on the finite-difference formulation for time integration and cubic B-spline functions for space integration. Convergence of the scheme is discussed through standard convergence analysis. The proposed scheme is of second order convergent. The accuracy of the proposed method is demonstrated by four test problems. The numerical results are found to be in good agreement with the exact solutions. Results are compared with other results given in literature.
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