A numerical study of two-dimensional coupled systems and higher order partial differential equations

DOI10.1142/S1793557119500712zbMath1426.65142OpenAlexW2799341269MaRDI QIDQ5193472

Rajni Rohila, Ramesh Chand Mittal

Publication date: 10 September 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557119500712

zbMATH Keywords

Burgers' equationBernstein polynomialdifferential quadrature methodBrusselator systemextended Fisher-Kolmogorov (EFK) equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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 (2)

Systematic formulation of a general numerical framework for solving the two-dimensional convection-diffusion-reaction system ⋮ A collocation method to solve the parabolic-type partial integro-differential equations via Pell-Lucas polynomials

Cites Work

• Numerical solution of two-dimensional reaction-diffusion Brusselator system
• Homotopy classes for stable connections between Hamiltonian saddle-focus equilibria
• The two-dimensional reaction--diffusion Brusselator system: A dual-reciprocity boundary element solution.
• Bernstein collocation method for solving nonlinear differential equations
• A study of one dimensional nonlinear diffusion equations by Bernstein polynomial based differential quadrature method
• A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation
• Solving 2D-wave problems by the iterative differential quadrature method
• Differential Quadrature Method for Two-Dimensional Burgers' Equations
• A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods

This page was built for publication: A numerical study of two-dimensional coupled systems and higher order partial differential equations