Cubic B-splines collocation method for solving nonlinear parabolic partial differential equations with Neumann boundary conditions
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[1] Gurhan Gurarslan,et al. Numerical solutions of linear and nonlinear diffusion equations by a differential quadrature method (DQM) , 2011 .
[2] Ram Jiwari,et al. A Higher Order Numerical Scheme for Some Nonlinear Differential Equations: Models in Biology , 2011 .
[3] R. K. Mohanty. An implicit high accuracy variable mesh scheme for 1-D non-linear singular parabolic partial differential equations , 2007, Appl. Math. Comput..
[4] Xiaoliang Cheng,et al. A linearly semi-implicit compact scheme for the Burgers–Huxley equation , 2011, Int. J. Comput. Math..
[5] Chi-Wang Shu,et al. Strong Stability-Preserving High-Order Time Discretization Methods , 2001, SIAM Rev..
[6] Geeta Arora,et al. Numerical solution of the coupled viscous Burgers’ equation , 2011 .
[7] David J. Evans,et al. Generalized trapezoidal formulas for convection-diffusion equations , 1999, Int. J. Comput. Math..
[8] R. K. Mohanty,et al. A new stable variable mesh method for 1-D non-linear parabolic partial differential equations , 2006, Appl. Math. Comput..
[9] M. M. Chawla,et al. Extended one-step time-integration schemes for convection-diffusion equations , 2000 .
[10] J. Rashidinia,et al. A COLLOCATION METHOD FOR THE SOLUTION OF NONLINEAR ONE-DIMENSIONAL PARABOLIC EQUATIONS , 2010 .
[11] R. Cherniha. New Exact Solutions of One Nonlinear Equation in Mathematical Biology and Their Properties , 2001 .
[12] S. M. Hassan,et al. B-SPLINE COLLOCATION ALGORITHMS FOR SOLVING NUMERICALLY THE MRLW EQUATION , 2009 .
[13] Roman Cherniha,et al. New Q-conditional symmetries and exact solutions of some reaction–diffusion–convection equations arising in mathematical biology , 2007 .
[14] Renhong Wang,et al. Numerical solution of Burgers' equation by cubic B-spline quasi-interpolation , 2009, Appl. Math. Comput..
[15] R. Cherniha,et al. Exact and numerical solutions of the generalized fisher equation , 2001 .
[16] G. Huang,et al. High-Order Compact Difference Scheme for Convection-Diffusion Problems on Nonuniform Grids , 2005 .
[17] R. K. Mohanty,et al. High order difference methods for system of id nonlinear parabolic partial differential equations , 1990, Int. J. Comput. Math..
[18] Yong Zhang,et al. A fourth-order method of the convection-diffusion equations with Neumann boundary conditions , 2011, Appl. Math. Comput..
[19] Mark J. Ablowitz,et al. Explicit solutions of Fisher's equation for a special wave speed , 1979 .
[20] K. R. Raslan,et al. Collocation method using quartic B-spline for the equal width (EW) equation , 2005, Appl. Math. Comput..