References
- Lepik U. Solving pdes with the aid of two-dimensional haar wavelets. Comput Math Appl. 2011;61:1873–1879. doi: 10.1016/j.camwa.2011.02.016
- Burden RL, Faires JD. Numerical analysis. Boston, MA: PWS; 1993.
- Rogers C, Shadwich WF. Bäcklund transformations and their application. New York: Academic Press; 1982.
- Olver PJ. Applications of Lie groups to differential equations. Berlin: Springer; 1986.
- Adomian G. A review of the decomposition method in applied mathematics. J Math Anal Appl. 1988;135:501–544. doi: 10.1016/0022-247X(88)90170-9
- Abbasbandy S, Shirzadi A. The first integral method for modified Benjamin–Bona–Mahony equation. Commun Nonlinear Sci Numer Simulat. 2010;15:1759–1764. doi: 10.1016/j.cnsns.2009.08.003
- Hirota R. Exact solution of the Korteweg-de Vries equa-tion for multiple collisions of solitons. Phys Rev Lett. 1971;27:1192–1194. doi: 10.1103/PhysRevLett.27.1192
- Liao SJ. An analytic approach to solve multiple solutions of a strongly nonlinear problem. Appl Math Comput. 2005;169:854–865.
- He JH. Asymptotology by homotopy perturbation method. Appl Math Comput. 2004;156:591–596.
- Ganji ZZ, Ganji DD, Bararnia H. Approximate general and explicit solutions of nonlinear BBMB equations by Exp-function method. Appl Math Model. 2009;33:1836–1841. doi: 10.1016/j.apm.2008.03.005
- Shiralashetti SC, Angadi LM, Deshi AB, et al. Haar wavelet method for the numerical solution of benjamin-bona-mahony equations. J Informat Comput Sci. 2016;11:136–145.
- Shiralashetti SC, Kumbinarasaiah S. Cardinal B-spline wavelet based numerical method for the solution of generalized Burgers–Huxley Equation. Int J Appl Comput Math. 2018. doi: 10.1007/s40819-018-0505-y
- Heydari MH, Hooshmandasl MR, Maalek Ghaini FM. A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type. Appl Math Model. 2014;38:1597–1606. doi: 10.1016/j.apm.2013.09.013
- Lahmar NA, Belhamitib O, Bahric SM. A New LegendreWavelets decomposition method for solving PDEs. Malaya J Mat. 2014;1(1):72–81.
- Shiralashetti SC, Kumbinarasaiah S. Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane–Emden type equations. Appl Math Comput. 2017;315:591–602.