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Numerical Solution of the Modified Equal Width Wave Equation Using B-Spline Method |
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PP: 97-110 |
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Author(s) |
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K. R. Raslan,
Ibrahem. G. Amien,
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Abstract |
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| In this paper, the modified equal width wave (MEW) equation is solved numerically using the cubic and septic B-spline. The proposed algorithms are based on Crank-Nicolson formulation and finite difference approximation. The non-linear term for cubic B-spline is computed during executing the algorithm at each time level in terms of the previous level while for septic B-spline we tackle the nonlinear term in the equation using a variant of the linearization technique. The stability analysis using Von-Neumann concept shows the schemes are unconditionally stable. To test accuracy the error norms , are computed. |
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