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Keywords:Modified regularized long wave (MRLW) equation B-spline collocation method Nonlinear partial differential equations Nonlinear dispersive waves a b s t r a c t Numerical scheme based on quartic B-spline collocation method is designed for the numerical solution of modified regularized long wave (MRLW) equation. Unconditional stability is proved using Von-Neumann approach. Performance of the method is checked through numerical examples. Using error norms L 2 and L 1 and conservative properties of mass, momentum and energy, accuracy and efficiency of the new method is established through comparison with the existing techniques.

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A new method based on nonuniform Haar wavelets is proposed for the numerical solution of singularly perturbed twopoint boundary value problems. Performance of the method is validated through numerical examples. Accuracy and efficiency of the suggested method is established through comparison with the existing spline and wavelet based techniques.