Application of polynomial scaling functions for numerical solution of telegraph equation

DOI10.1080/00036811.2014.998654zbMath1338.65231OpenAlexW2000593908WikidataQ58262621 ScholiaQ58262621MaRDI QIDQ2795451

Mahmood Jokar, Jalil Rashidinia

Publication date: 21 March 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.998654

zbMATH Keywords

convergencenumerical exampletelegraph equationoperational matrix of derivativepolynomial scaling functions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Numerical methods for wavelets (65T60) 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 (13)

New Tchebyshev‐Galerkin operational matrix method for solving linear and nonlinear hyperbolic telegraph type equations ⋮ High order accurate method for the numerical solution of the second order linear hyperbolic telegraph equation ⋮ Explicit high-order compact difference method for solving nonlinear hyperbolic equations with three types of boundary conditions ⋮ Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation ⋮ Polynomial scaling functions for numerical solution of generalized Kuramoto–Sivashinsky equation ⋮ Numerical solution of hyperbolic telegraph equation by cubic B-spline collocation method ⋮ A new unconditionally stable method for telegraph equation based on associated Hermite orthogonal functions ⋮ Highly accurate numerical scheme based on polynomial scaling functions for equal width equation ⋮ Numerical solution of linear and nonlinear hyperbolic telegraph type equations with variable coefficients using shifted Jacobi collocation method ⋮ Numerical-solution-for-nonlinear-Klein-Gordon equation via operational-matrix by clique polynomial of complete graphs ⋮ Adaptive Monte Carlo methods for solving hyperbolic telegraph equation ⋮ Numerical solution of second-order two-dimensional hyperbolic equation by bi-cubic B-spline collocation method ⋮ Fractional-order general Lagrange scaling functions and their applications

Cites Work

• Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method
• Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations
• Numerical solution of telegraph equation using interpolating scaling functions
• Solution of Hallen's integral equation using multiwavelets
• An unconditionally stable spline difference scheme of \(O(k^2+h^4)\) for solving the second-order 1D linear hyperbolic equation
• Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation
• Periodic solutions of the nonlinear telegraph equations with bounded nonlinearities
• Bounded solutions of second order semilinear evolution equations and applications to the telegraph equation
• Polynomial wavelets on the interval
• On the use of high order difference methods for the system of one space second order nonlinear hyperbolic equations with variable coefficients
• A numerical algorithm for the solution of telegraph equations
• An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation
• On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation
• Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method
• High order compact solution of the one-space-dimensional linear hyperbolic equation
• An explicit difference method for the wave equation with extended stability range
• The numerical solution of the telegraph equation by the alternating group explicit (AGE) method
• Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations
• Homotopy analysis method for solving fractional hyperbolic partial differential equations
• New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations

This page was built for publication: Application of polynomial scaling functions for numerical solution of telegraph equation