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Solitary waves for the MRLW equation

✍ Scribed by K.R. Raslan; Saleh M. Hassan

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
390 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

This work presents a computational comparison study of quadratic, cubic, quartic and quintic splines for solving the modified regularized long wave (MRLW) equation. Collocation schemes with quadratic and cubic splines are found to be unconditionally stable. The fourth-order Runge-Kutta method has been used to solve the collocation schemes when quartic and quintic B-splines are used. The three invariants of motion have been evaluated to determine the conservation properties of the suggested algorithms. Comparisons of results due to different schemes with the exact values shows the accuracy and efficiency of the proposed schemes. Results corresponding to higher order splines are more accurate than those corresponding to lower order splines.

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