Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order
type: Item
instance of: scholarly article
title: Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order
zbMATH Open document ID: 1368.65201
author: Emran Tohidi
author: Faezeh Toutounian
publication date: 2017-08-09T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35L50
zbMATH DE Number: 6758871
zbMATH Keywords: first order matrix partial differential equations
zbMATH Keywords: double Bernoulli series
zbMATH Keywords: operational matrices of differentiation and integration
zbMATH Keywords: convergence analysis
zbMATH Keywords: hyperbolic equations
MaRDI profile type: Publication
full work available at URL: j.camwa.2014.05.007
OpenAlex ID: W1963671427
cites work: An implicit difference method for the numerical solution of coupled systems of partial differential equations
cites work: A fitted numerical method for a system of partial delay differential equations
cites work: Numerical simulations of systems of PDEs by variational iteration method
cites work: A new approach for solving a system of fractional partial differential equations
cites work: Solving initial-boundary value problems for systems of partial differential equations using neural networks and optimization techniques
cites work: Computing accurate solutions for coupled systems of second order partial differential equations II
cites work: Symbolic semi-discretization of partial differential equation systems.
cites work: A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation
cites work: Robustness of operational matrices of differentiation for solving state-space analysis and optimal control problems
cites work: A collocation method based on the Bernoulli operational matrix for solving high-order linear complex differential equations in a rectangular domain
cites work: Chebyshev polynomial approximation for high‐order partial differential equations with complicated conditions
cites work: Taylor polynomial solutions of second order linear partial differential equations
cites work: Double Walsh series solution of first-order partial differential equations
cites work: The operational matrices of Bernstein polynomials for solving the parabolic equation subject to specification of the mass
cites work: An efficient method for solving nonlocal initial-boundary value problems for linear and nonlinear first-order hyperbolic partial differential equations
cites work: A posteriori error estimate of the DSD method for first-order hyperbolic equations
cites work: A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis
cites work: Q3847247
cites work: Expansion over a rectangle of real functions in Bernoulli polynomials and applications
cites work: Wendroff Type Inequalities
cites work: Taylor polynomial solution of hyperbolic type partial differential equations with constant coefficients
DOI: 10.1016/J.CAMWA.2014.05.007
published in: Computers & Mathematics with Applications
Recommended article: Q3192873
Recommended article: A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis
Recommended article: Convergence analysis of some iterative methods for a nonlinear matrix equation
Recommended article: Convergence and error analysis of a numerical method for the identification of matrix parameters in elliptic PDEs
Recommended article: Q2953677
Recommended article: Q3809191
Recommended article: Q3765132
Recommended article: Hyers-Ulam stability of the first-order matrix differential equations
Recommended article: Convergence of Nonconforming Finite Element Approximations to First-Order Linear Hyperbolic Equations
Recommended article: Q3314900
description: scientific article; zbMATH DE number 6758871