Adomian decomposition method for Burger's–Huxley and Burger's–Fisher equations

Numerical solution of generalized Burger’s-Huxley equation using local radial basis functions

“…All the computations are performed with nodal distance h= 0.1. For the comparison purpose with ADM (Ismail et al, 2004) and GRBF (Khattak, 2009), spatial domain =[0,1] will be used.…”

“…The error norms of LRBFDQ method using ni=5 and ni=3 are reported in Table 1. Moreover for comparison purpose the absolute errors of LRBFDQ method, ADM (Ismail et al, 2004) and GRBF (Khattak, 2009) at specific nodes are also mentioned in Table 2 Table 3 for δ=2 using time step dt=0.01. For δ=3 the error norms are reported in Table 5 and Table 7 with time steps dt=0.0001 and dt=0.01 respectively.…”

“…will also be given. Also we will test the proposed (LRBFDQ) method by calculating error norms and comparing results with some other existing methods like ADM (Ismail et al, 2004) and global mesh free method (Khattak, 2009). …”

“…These include optimal homotopy asymptotic method by Ali et al (2012), Adomian decomposition technique by Ismail et al (2004), Haar wavelet method by Celik (2012), computational meshless method by Khattak (2009). Many other techniques can be found in references (Mittal and Tripathi, 2015;Jiwari el al., 2013;El-Kady et al, 2013;Macías-Díaz and Szafrańska, 2014;Ervin et al, 2015).…”

Implementation of Wavelet Based Transform for numerical solutions of Partial differential equations

“…The Burgers-Fisher equation which describes the interaction between the reaction mechanism, convection effect, and diffusion transport [6] is considered in this paper. Many numerical schemes have been proposed for obtaining approximate solutions of the Burger-fisher equation [7][8][9][10][11][12].…”