Geodesic
Subdomain finite element method with quartic $\mathrm{B}$-splines for the modified equal width wave equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 3

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In this paper, a numerical solution of the modified equal width wave (MEW) equation, has been obtained by a numerical technique based on Subdomain finite element method with quartic $\mathrm{B}$-splines. Test problems including the motion of a single solitary wave and interaction of two solitary waves are studied to validate the suggested method. Accuracy and efficiency of the proposed method are discussed by computing the numerical conserved laws and error norms $L_2$ and $L_\infty$. A linear stability analysis based on a Fourier method shows that the numerical scheme is unconditionally stable. 
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     author = {T. Geyikli and S. B. G. Karakoc},
     title = {Subdomain finite element method with quartic $\mathrm{B}$-splines for the modified equal width wave equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {417},
     publisher = {mathdoc},
     volume = {55},
     number = {3},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_3_a4/}
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T. Geyikli; S. B. G. Karakoc. Subdomain finite element method with quartic $\mathrm{B}$-splines for the modified equal width wave equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 3. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_3_a4/