Abstract
In this manuscript, a Strang splitting approach combined with Chebyshev wavelets has been used to obtain the numerical solutions of regularized long-wave (RLW) equation with various initial and boundary conditions. The performance of the proposed method measured with three different test problems. To measure the accuracy of the method, \(L_{2}\) and \(L_{\infty }\) error norms and the \(I_{1},I_{2,}\) \(I_{3}\) invariants are computed. The results of the computations are compared with the existing numerical and exact solutions in the literature.
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The authors received no funding for this work. Additionally, the authors would like to thank to the anonymous reviewers for their helpful comments and suggestions which improve to the paper.
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Oruç, Ö., Esen, A. & Bulut, F. A Strang Splitting Approach Combined with Chebyshev Wavelets to Solve the Regularized Long-Wave Equation Numerically. Mediterr. J. Math. 17, 140 (2020). https://doi.org/10.1007/s00009-020-01572-w
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DOI: https://doi.org/10.1007/s00009-020-01572-w
Keywords
- Chebyshev wavelet method
- Strang splitting
- regularized long-wave equation
- nonlinear phenomena
- numerical solution