Numerical solutions of two-dimensional unsteady convection–diffusion problems using modified bi-cubicB-spline finite elements

DOI10.1080/00207160.2015.1085976zbMath1365.65229OpenAlexW2309599956MaRDI QIDQ5737847

Amit Tripathi, Ramesh Chand Mittal

Publication date: 30 May 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1085976

zbMATH Keywords

computational complexitycollocation methodnumerical experimentThomas algorithmstrong stability preserving Runge-Kutta methodtwo-dimensional unsteady convection-diffusion equationHockney methodmodified bi-cubic B-splinestwo-dimensional transport equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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) Complexity and performance of numerical algorithms (65Y20)

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