Spectral Galerkin treatment of linear one-dimensional telegraph type problem via the generalized Lucas polynomials
DOI10.1007/s40065-022-00374-0zbMath1501.65081OpenAlexW4229334226MaRDI QIDQ2091745
A. G. Atta, Youssri H. Youssri, Waleed M. Abd-Elhameed
Publication date: 2 November 2022
Published in: Arabian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40065-022-00374-0
Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Integro-partial differential equations (35R09) Initial value problems for second-order hyperbolic systems (35L52)
Related Items (4)
Cites Work
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- Numerical simulation of second-order hyperbolic telegraph type equations with variable coefficients
- A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
- The solution of a time-dependent problem by the \(B\)-spline method
- A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions
- New hypergeometric connection formulae between Fibonacci and Chebyshev polynomials
- A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations
- Numerical solution of second order one dimensional hyperbolic telegraph equation by cubic B-spline collocation method
- Integral spectral Tchebyshev approach for solving space Riemann-Liouville and Riesz fractional advection-dispersion problems
- Generalized Fibonacci operational collocation approach for fractional initial value problems
- Generalized Lucas polynomial sequence approach for fractional differential equations
- Numerical simulation of two-dimensional sine-Gordon solitons by differential quadrature method
- Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations
- Spectrally accurate approximate solutions and convergence analysis of fractional Burgers' equation
- Numerical solution of mixed-type fractional functional differential equations using modified Lucas polynomials
- The error estimates of spectral methods for 1-dimension singularly perturbed problem
- Inequalities for generalized hypergeometric functions
- Supersymmetric Fibonacci polynomials
- Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method
- A numerical method for solving the hyperbolic telegraph equation
- Fibonacci and Lucas Numbers With Applications
- Fibonacci polynomials for the numerical solution of variable‐order space‐time fractional Burgers‐Huxley equation
- Galerkin–Legendre spectral method for the distributed-order time fractional fourth-order partial differential equation
- Fully Legendre Spectral Galerkin Algorithm for Solving Linear One-Dimensional Telegraph Type Equation
- The use of Chebyshev cardinal functions for solution of the second‐order one‐dimensional telegraph equation
- The incomplete gamma functions
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