A multivariate spectral quasi-linearization method for the solution of \((2+1)\) dimensional Burgers' equations

DOI10.1515/ijnsns-2019-0055OpenAlexW3048378000MaRDI QIDQ823731

Vusi Mpendulo Magagula, Phumlani Goodwill Dlamini

Publication date: 16 December 2021

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2019-0055

zbMATH Keywords

Chebyshev spectral methodmultivariatequasi-linearization

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (1)

A novel multivariate spectral local quasilinearization method (MV-SLQLM) for modelling flow, moisture, heat, and solute transport in soil

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical solutions of two-dimensional Burgers' equations by discrete Adomian decomposition method
• A Chebyshev spectral collocation method for solving Burgers'-type equations
• A fully implicit finite-difference scheme for two-dimensional Burgers' equations
• Chebyshev-Chebyshev spectral collocation method for solving the generalized regularized long wave (GRLW) equation
• A space-time fully decoupled wavelet Galerkin method for solving two-dimensional Burgers' equations
• Head-on collision between capillary-gravity solitary waves
• Exact solutions and conservation laws of the system of two-dimensional viscous Burgers equations
• Spectral relaxation method and spectral quasilinearization method for solving unsteady boundary layer flow problems
• Fourth-order compact schemes for the numerical simulation of coupled Burgers' equation
• Exact and numerical solutions for non-linear Burger's equation by VIM
• Generating exact solutions of the two-dimensional Burgers' equations
• Spectral Methods in MATLAB
• Space‐time spectral collocation method for the one‐dimensional sine‐<scp>G</scp>ordon equation

This page was built for publication: A multivariate spectral quasi-linearization method for the solution of \((2+1)\) dimensional Burgers' equations