Numerical solution of telegraph equation using interpolating scaling functions
From MaRDI portal
Publication:623122
DOI10.1016/j.camwa.2010.07.030zbMath1205.65288OpenAlexW2088680311MaRDI QIDQ623122
Behzad Nemati Saray, Mehrdad Lakestani
Publication date: 13 February 2011
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2010.07.030
Related Items (57)
A numerical study of two dimensional hyperbolic telegraph equation by modified B-spline differential quadrature method ⋮ An efficient algorithm based on the multi-wavelet Galerkin method for telegraph equation ⋮ Numerical study of multi-dimensional hyperbolic telegraph equations arising in nuclear material science via an efficient local meshless method ⋮ New Tchebyshev‐Galerkin operational matrix method for solving linear and nonlinear hyperbolic telegraph type equations ⋮ Lagrange interpolation and modified cubic B-spline differential quadrature methods for solving hyperbolic partial differential equations with Dirichlet and Neumann boundary conditions ⋮ On Multiscale Variational and Streamline Diffusion Schemes for a Coupled Nonlinear Telegraph System ⋮ Numerical simulation of second-order hyperbolic telegraph type equations with variable coefficients ⋮ Laplace transform collocation method for solving hyperbolic telegraph equation ⋮ NEW HYBRID TECHNIQUE FOR SOLVING THREE DIMENSIONAL TELEGRAPH EQUATIONS ⋮ A new direct method based on the Chebyshev cardinal functions for variable-order fractional optimal control problems ⋮ Least square homotopy solution to hyperbolic telegraph equations: multi-dimension analysis ⋮ A new strategy for the approximate solution of hyperbolic telegraph equations in nonlinear vibration system ⋮ High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: application to 3D telegraphic equation ⋮ Exponential Jacobi spectral method for hyperbolic partial differential equations ⋮ Study of one dimensional hyperbolic telegraph equation via a hybrid cubic B-spline differential quadrature method ⋮ Three methods based on the interpolation scaling functions and the mixed collocation finite difference schemes for the numerical solution of the nonlinear generalized Burgers-Huxley equation ⋮ Explicit solution of telegraph equation based on reproducing kernel method ⋮ Solving second-order telegraph equations with high-frequency extrinsic oscillations ⋮ A Haar wavelet collocation approach for solving one and two‐dimensional second‐order linear and nonlinear hyperbolic telegraph equations ⋮ Numerical and approximate solutions for two-dimensional hyperbolic telegraph equation via wavelet matrices ⋮ Numerical solution of one-dimensional hyperbolic telegraph equation using collocation of cubic B-splines ⋮ Sparse representation of system of Fredholm integro-differential equations by using alpert multiwavelets ⋮ Numerical Scheme with Convergence Analysis and Error Estimate for Variable Order Weakly Singular Integro-Differential Equation ⋮ Numerical solution of second order one dimensional hyperbolic telegraph equation by cubic B-spline collocation method ⋮ Numerical solution of time-fractional telegraph equation by using a new class of orthogonal polynomials ⋮ Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation ⋮ The numerical study of a hybrid method for solving telegraph equation ⋮ Homotopy Padé method for solving second-order one-dimensional telegraph equation ⋮ A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions ⋮ The neutral-fractional telegraph equation ⋮ Unnamed Item ⋮ Application of Bernoulli matrix method for solving two-dimensional hyperbolic telegraph equations with Dirichlet boundary conditions ⋮ Using interpolation scaling functions based on Galerkin method for solving non-Newtonian fluid flow between two vertical flat plates ⋮ Numerical solution of hyperbolic telegraph equation by cubic B-spline collocation method ⋮ Numerical solution of linear and nonlinear hyperbolic telegraph type equations with variable coefficients using shifted Jacobi collocation method ⋮ A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type ⋮ Mixed finite difference and Galerkin methods for solving Burgers equations using interpolating scaling functions ⋮ Modal Hermite spectral collocation method for solving multi-dimensional hyperbolic telegraph equations ⋮ A computational method for solving variable-order fractional nonlinear diffusion-wave equation ⋮ Fully Legendre Spectral Galerkin Algorithm for Solving Linear One-Dimensional Telegraph Type Equation ⋮ Numerical solution of second-order hyperbolic telegraph equation via new cubic trigonometric B-splines approach ⋮ On the consistency of the reaction-telegraph process within finite domains ⋮ An efficient decomposition method for solving telegraph equation through quadratic Legendre multiwavelets ⋮ Application of polynomial scaling functions for numerical solution of telegraph equation ⋮ Numerical solution of n th-order integro-differential equations using trigonometric wavelets ⋮ Lagrange's operational approach for the approximate solution of two-dimensional hyperbolic telegraph equation subject to Dirichlet boundary conditions ⋮ Numerical solution of time-fractional order telegraph equation by Bernstein polynomials operational matrices ⋮ A reliable analytic study for higher-dimensional telegraph equation ⋮ A new treatment based on hybrid functions to the solution of telegraph equations of fractional order ⋮ Bernoulli collocation method for solving linear multidimensional diffusion and wave equations with Dirichlet boundary conditions ⋮ High-order numerical solution of second-order one-dimensional hyperbolic telegraph equation using a shifted Gegenbauer pseudospectral method ⋮ Fractional-order general Lagrange scaling functions and their applications ⋮ Exact analytical solutions of fractional order telegraph equations via triple Laplace transform ⋮ High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain ⋮ Numerical solutions of the second-order one-dimensional telegraph equation based on reproducing kernel Hilbert space method ⋮ Evaluation of mixed Crank-Nicolson scheme and tau method for the solution of Klein-Gordon equation ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Solution of Hallen's integral equation using multiwavelets
- Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation
- An unconditionally stable parallel difference scheme for telegraph equation
- An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation
- An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients
- Adaptive solution of partial differential equations in multiwavelet bases
- 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
- Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
- 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
- Numerical solution of the one-dimensional wave equation with an integral condition
- A numerical method for solving the hyperbolic telegraph equation
- 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 use of Chebyshev cardinal functions for solution of the second‐order one‐dimensional telegraph equation
This page was built for publication: Numerical solution of telegraph equation using interpolating scaling functions