%0 Journal Article %T Numerical Solutions of Mrlw Equation by a Fully Implicit Finite-difference Scheme %A Inan, Bilge %A Bahadir, Ahmet Refik %J Journal of Mathematics and Computer Science %D 2015 %V 15 %N 3 %@ ISSN 2008-949X %F Inan2015 %X In the present paper, a fully implicit finite difference method is introduced for the numerical solution of the modified regularized long wave (MRLW) equation. The accuracy of the method is examined by different problems of the MRLW equation. The results and comparisons with analytical and other numerical invariants clearly show that results obtained using the fully implicit finite difference scheme are precise and reliable. %9 journal article %R 10.22436/jmcs.015.03.07 %U http://dx.doi.org/10.22436/jmcs.015.03.07 %P 228-239 %0 Journal Article %T Calculations of development of an undular bore %A D. H. Peregrine %J J. Fluid Mech. %D 1966 %V 25 %F Peregrine1966 %0 Journal Article %T A collocation method with cubic B-splines for solving the MRLW equation %A A. K. Khalifa %A K. R. Raslan %A H. M. Alzubaidi %J J. Comput. Appl. Math. %D 2008 %V 212 %F Khalifa2008 %0 Journal Article %T Numerical study using ADM for the modified regularized long wave equation %A A. K. Khalifa %A K. R. Raslan %A H. M. Alzubaidi %J Appl. Math. Modelling %D 2008 %V 32 %F Khalifa2008 %0 Journal Article %T Application of the homotopy perturbation method to the modified regularized long-wave equation %A T. Achouri %A K. Omrani %J Numer. Meth. Part. D. E. %D 2009 %V 26 %F Achouri2009 %0 Journal Article %T Numerical study of the modified regularized long wave (MRLW) equation %A K. R. Raslan %J Chaos, Solitons and Fract. %D 2009 %V 42 %F Raslan2009 %0 Journal Article %T B-splines collocation algorithms for solving numerically the MRLW equation %A S. M. Hassan %A D. G. Alamery %J Int. J. Nonlin. Sci. %D 2009 %V 8 %F Hassan2009 %0 Journal Article %T Solitary waves solutions of the MRLW eqution using quintic B-splines %A K. R. Raslan %A T. S. El-Danaf %J J. King Saud University (Science) %D 2010 %V 22 %F Raslan2010 %0 Journal Article %T Solitary wave solutions of the MRLW equation using radial basis functions %A Y. Dereli %J Numer. Meth. Part. D. E. %D 2012 %V 28 %F Dereli2012 %0 Journal Article %T A numerical technique for solution of the MRLW equation using quartic B-splines %A F. Haq %A S. Islam %A I. A. Tirmizi %J Appl. Math. Modelling %D 2010 %V 34 %F Haq2010 %0 Journal Article %T Numerical solutions of the MRLW equation using meshless kernel based method of lines %A Y. Dereli %J Int. J. Nonlin. Sci. %D 2012 %V 13 %F Dereli2012 %0 Journal Article %T A new approach to modified regularized long wave equation %A Y. Khan %A R. Taghipour %A M. Falahian %A A. Nikkar %J Neural Comput. & Applic. Doi 10.1007/s00521-012-1077-0. %D 2013 %V 23 %F Khan2013 %0 Journal Article %T Petrov-Galerkin finite element method for solving the MRLW equation %A S. B. G. Karakoc %A T. Geyikli %J Math. Sciences %D 2013 %V 7 %F Karakoc2013 %0 Journal Article %T The extended cubic B-spline algorithm for a modified regularized long wave equation %A İ. Dağ %A D. Irk %A M. Sarı %J Chin. Phys. B %D 2013 %V 22 %F Dağ2013 %0 Journal Article %T Numerical solution for one-dimensional Burgers' equation using a fully implicit finite-difference method %A A. R. Bahadır %J Int. J. Appl. Math. %D 1999 %V 1 %F Bahadır1999 %0 Journal Article %T A fully implicit finite-difference scheme for two-dimensional Burgers' equations %A A. R. Bahadır %J Appl. Math. Comput. %D 2003 %V 137 %F Bahadır2003 %0 Journal Article %T Euler operators and conservation laws of the BBM equation %A P. J. Olver %J Math. Proc. Cambridge Philos. Soc. %D 1979 %V 85 %F Olver1979 %0 Journal Article %T A numerical solution of the equal width wave equation using a fully implicit finite difference method %A B. İnan %A A. R. Bahadır %J Turkish Journal of Mathematics & Computer Science, Article ID 20140037 %D 2014 %V %F İnan2014