A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations
type: Item
instance of: scholarly article
title: A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations
zbMATH Open document ID: 1422.65174
author: R. K. Mohanty
author: Gunjan Khurana
published in: Advances in Difference Equations
publication date: 2018-12-04T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6988945
zbMATH Keywords: spline in compression approximations
zbMATH Keywords: quasi-linear hyperbolic equations
zbMATH Keywords: half-step grid points
zbMATH Keywords: telegraphic equation
zbMATH Keywords: unconditionally stable
zbMATH Keywords: maximum absolute errors
MaRDI profile type: Publication
full work available at URL: s13662-017-1147-9
OpenAlex ID: W2597799595
Wikidata QID: Q59603894
cites work: An analysis for a high-order difference scheme for numerical solution toutt =A(x, t)uxx +F(x, t, u, ut,ux)
cites work: Piecewise Cubic Interpolation and Two-Point Boundary Problems
cites work: The use of cubic splines in the solution of two-point boundary value problems
cites work: A Cubic Spline Technique for the One Dimensional Heat Conduction Equation
cites work: A Fully Implicit Finite Difference Approximation to the One-dimensional Wave Equation using a Cubic Spline Technique
cites work: A cubic-spline method for solving the wave equation of nonlinear optics
cites work: Spline function approximation for differential equations
cites work: Cubic spline solution of two-point boundary value problems with significant first derivatives
cites work: Difference schemes based on splines in compression for the solution of conservation laws
cites work: Numerical solution of singularly perturbed two point boundary value problems by spline in compression
cites work: Numerical solution of singularly perturbed two-point boundary value problems by spline in tension
cites work: Parametric cubic spline approach to the solution of a system of second-order boundary-value problems
cites work: Cubic spline for solving singular two-point boundary value problems
cites work: Spline in compression method for the numerical solution of singularly perturbed two-point singular boundary-value problems
cites work: Convergent spline in tension methods for singularly perturbed two-point singular boundary value problems
cites work: A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems
cites work: A family of nonuniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives
cites work: Spline methods for the solutions of hyperbolic equations
cites work: Non-polynomial cubic spline methods for the solution of parabolic equations
cites work: Nonpolynomial spline approach to the solution of a system of second-order boundary-value problems
cites work: A class of methods based on non-polynomial spline functions for the solution of a special fourth-order boundary-value problems with engineering applications
cites work: Parameters spline methods for the solution of hyperbolic equations
cites work: High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations†
cites work: A fourth-order finite difference method based on spline in tension approximation for the solution of one-space dimensional second-order quasi-linear hyperbolic equations
cites work: A new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equations
cites work: On the use of high order difference methods for the system of one space second order nonlinear hyperbolic equations with variable coefficients
cites work: High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations
cites work: New nonpolynomial spline in compression method of \(O(k^2+k^4)\) for the solution of 1D wave equation in polar coordinates
cites work: Stability interval for explicit difference schemes for multi-dimensional second-order hyperbolic equations with significant first-order space derivative terms
cites work: An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation
cites work: New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations
cites work: High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term
cites work: A New Fast Numerical Method Based on Off-Step Discretization for Two-Dimensional Quasilinear Hyperbolic Partial Differential Equations
cites work: A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations
cites work: High accuracy cubic spline approximation for two dimensional quasi-linear elliptic boundary value problems
cites work: A new off-step high order approximation for the solution of three-space dimensional nonlinear wave equations
cites work: A new high order compact off-step discretization for the system of 3D quasi-linear elliptic partial differential equations
cites work: A new compact high order off-step discretization for the system of 2D quasi-linear elliptic partial differential equations
cites work: A new high order space derivative discretization for 3D quasi-linear hyperbolic partial differential equations
cites work: A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations
cites work: A new high accuracy two-level implicit off-step discretization for the system of three space dimensional quasi-linear parabolic partial differential equations
cites work: Q4947421
cites work: Q3155853
cites work: Q4841246
DOI: 10.1186/S13662-017-1147-9
description: scientific article; zbMATH DE number 6988945