Applications of quintic Hermite collocation with time discretization to singularly perturbed problems

DOI10.1016/j.amc.2017.08.040zbMath1427.65278OpenAlexW2751126442MaRDI QIDQ1740267

Inderpreet Kaur, Shelly Arora

Publication date: 29 April 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.08.040

zbMATH Keywords

singular perturbationcollocation pointsparameter uniform convergenceforward differencequintic Hermite collocation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Reaction-diffusion equations (35K57) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

Solution of Benjamin-Bona-Mahony-Burgers equation using collocation method with quintic Hermite splines ⋮ Super convergence analysis of fully discrete Hermite splines to simulate wave behaviour of Kuramoto-Sivashinsky equation ⋮ Unnamed Item ⋮ An exploration of quintic Hermite splines to solve Burgers' equation ⋮ Shishkin mesh based septic Hermite interpolation algorithm for time-dependent singularly perturbed convection-diffusion models ⋮ Numerical simulation of time variable fractional order mobile-immobile advection-dispersion model based on an efficient hybrid numerical method with stability and convergence analysis ⋮ Error bounds for septic Hermite interpolation and its implementation to study modified Burgers' equation

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