Error bounds for septic Hermite interpolation and its implementation to study modified Burgers' equation

DOI10.1007/s11075-021-01173-yOpenAlexW3190324919MaRDI QIDQ2118963

Archna Kumari, V. K. Kukreja

Publication date: 23 March 2022

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-021-01173-y

zbMATH Keywords

maximum normvon-Neumann analysisseptic Hermite collocation method

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Related Items (5)

Solution of dual boundary layer singular perturbation problem by septic Hermite collocation technique ⋮ Study of Self-Adjoint Singularly Perturbed BVP by Septic Hermite Collocation Method ⋮ Kernel smoothing method for the numerical approximation of Benjamin-Bona-Mahony-Burgers' equation ⋮ Study of \(4^{th}\) order Kuramoto-Sivashinsky equation by septic Hermite collocation method ⋮ Shishkin mesh based septic Hermite interpolation algorithm for time-dependent singularly perturbed convection-diffusion models

Uses Software

• Mathematica

Cites Work

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• Numerical solution of Burgers' equation by cubic Hermite collocation method
• Numerical solutions of nonlinear Burgers equation with modified cubic B-splines collocation method
• Numerical solutions of the modified Burgers equation by Petrov-Galerkin method
• Numerical solutions of the modified Burgers equation by a cubic B-spline collocation method
• Exp-function method for the exact solutions of fifth order KdV equation and modified Burgers equation
• A fourth-order numerical scheme for solving the modified Burgers equation
• Application of orthogonal collocation on finite elements for solving nonlinear boundary value problems
• A numerical study of the Burgers' equation
• \(N\)-wave solution of modified Burgers equation
• Applications of quintic Hermite collocation with time discretization to singularly perturbed problems
• An exploration of quintic Hermite splines to solve Burgers' equation
• Numerical solution of one-dimensional Burgers' equation using reproducing kernel function
• A numerical solution of the Burgers' equation using septic \(B\)-splines
• Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
• Numerical treatment for the modified Burgers equation
• Crank–Nicolson finite difference method based on a midpoint upwind scheme on a non-uniform mesh for time-dependent singularly perturbed convection–diffusion equations
• Large‐Time Asymptotics for Periodic Solutions of the Modified Burgers Equation
• Sextic B‐spline collocation method for the modified Burgers' equation
• A New Type of Burgers' Equation
• An exponential time differencing method of lines for the Burgers and the modified Burgers equations
• Sonic shocks governed by the modified Burgers' equation
• Robust numerical scheme for nonlinear modified Burgers equation
• Operator splitting for numerical solution of the modified Burgers' equation using finite element method
• Quintic trigonometric spline based numerical scheme for nonlinear modified Burgers' equation
• Hermite Interpolation Errors for Derivatives
• An efficient scheme for numerical solution of Burgers' equation using quintic Hermite interpolating polynomials

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