A study of one dimensional nonlinear diffusion equations by Bernstein polynomial based differential quadrature method

DOI10.1007/S10910-016-0703-YzbMath1384.65073OpenAlexW2539549267MaRDI QIDQ1704734

Rajni Rohila, Ramesh Chand Mittal

Publication date: 13 March 2018

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-016-0703-y

zbMATH Keywords

numerical exampleBurgers' equationRunge-Kutta methodcollocationBernstein polynomialFisher's equationdifferential quadrature methodone-dimensional nonlinear diffusion equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (8)

Structure preserving numerical analysis of reaction-diffusion models ⋮ Numerical solutions of strongly non-linear generalized Burgers–Fisher equation via meshfree spectral technique ⋮ Traveling and shock wave simulations in a viscous Burgers' equation with periodic boundary conditions ⋮ NUMERICAL SOLUTION OF TRAVELING WAVES IN CHEMICAL KINETICS: TIME-FRACTIONAL FISHERS EQUATIONS ⋮ A higher order implicit adaptive finite point method for the Burgers' equation ⋮ Hybrid radial basis function methods of lines for the numerical solution of viscous Burgers' equation ⋮ A numerical study of two-dimensional coupled systems and higher order partial differential equations ⋮ Analysis of chaotic behavior of three-dimensional dynamical systems by a B-spline differential quadrature algorithm

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