Qualitative analysis and numerical solution of Burgers' equation via B-spline collocation with implicit Euler method on piecewise uniform mesh

DOI10.1515/jnma-2014-0056zbMath1339.65148OpenAlexW2434263987MaRDI QIDQ299007

Vikas Gupta, Mohan K. Kadalbajoo

Publication date: 22 June 2016

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnma-2014-0056

zbMATH Keywords

Burgers' equationquasilinearizationimplicit Euler methodparabolic problemstability and convergenceB-spline collocationpiecewise uniform mesh

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (7)

Maximum norm convergence analysis of extrapolated Crank-Nicolson orthogonal spline collocation for Burgers' equation in one space variable ⋮ Collocation method with Lagrange polynomials for variable‐order time‐fractional advection–diffusion problems ⋮ An effective approach for numerical solution of linear and nonlinear singular boundary value problems ⋮ A robust uniformly convergent finite difference scheme for the time-fractional singularly perturbed convection-diffusion problem ⋮ An approach based on fractional-order Lagrange polynomials for the numerical approximation of fractional order non-linear Volterra-Fredholm integro-differential equations ⋮ A three-level implicit difference scheme for solving the inviscid Burgers' equation with time delay ⋮ A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms

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