Numerical solutions of nonlinear Fisher's reaction-diffusion equation with modified cubic B-spline collocation method

DOI10.1186/2251-7456-7-12zbMath1279.65123OpenAlexW2171715512WikidataQ59293945 ScholiaQ59293945MaRDI QIDQ387102

Rakesh Kumar Jain, Ramesh Chand Mittal

Publication date: 11 December 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-7-12

zbMATH Keywords

collocation methodfinite elementsnumerical examplesRunge-Kutta methodThomas algorithmmodified cubic B-spline basis functionsnonlinear Fisher's reaction-diffusion equationSSP-RK54 scheme

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (17)

Application of cubic B-spline collocation method for reaction diffusion Fisher's equation ⋮ A fourth-order B-spline collocation method for nonlinear Burgers-Fisher equation ⋮ Efficient techniques for numerical solutions of Fisher's equation using B-spline finite element methods ⋮ An efficient hybrid method based on cubic B-spline and fourth-order compact finite difference for solving nonlinear advection-diffusion-reaction equations ⋮ Numerical computation of nonlinear Fisher's reaction-diffusion equation with exponential modified cubic B-spline differential quadrature method ⋮ A study of one dimensional nonlinear diffusion equations by Bernstein polynomial based differential quadrature method ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The exponential cubic B-spline algorithm for Fisher equation ⋮ Analytic and numerical solutions of nonlinear diffusion equations via symmetry reductions ⋮ Existence and Uniqueness Results for Singular Boundary Value Problem of Weighted Generalized Fisher Type Differential Equation ⋮ Approximate solutions of Fisher's type equations with variable coefficients ⋮ Unnamed Item ⋮ A meshfree numerical technique based on radial basis function pseudospectral method for Fisher's equation ⋮ On the stability and convergence of an implicit logarithmic scheme for diffusion equations with nonlinear reaction ⋮ Design and numerical analysis of a logarithmic scheme for nonlinear fractional diffusion-reaction equations

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