A pseudospectral algorithm for solving multipantograph delay systems on a semi-infinite interval using Legendre rational functions
From MaRDI portal
Publication:1725049
DOI10.1155/2014/816473zbMath1474.65251OpenAlexW1996580876WikidataQ59041750 ScholiaQ59041750MaRDI QIDQ1725049
Dumitru Baleanu, Ali H. Bhrawy, Eid H. Doha, Ramy M. Hafez
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/816473
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Theoretical approximation of solutions to functional-differential equations (34K07)
Related Items (3)
On oscillation of differential equations with non-monotone deviating arguments ⋮ Stepsize restrictions for nonlinear stability properties of neutral delay differential equations ⋮ Shifted Lagrangian Jacobi collocation scheme for numerical solution of a model of HIV infection
Cites Work
- Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations
- A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation
- A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals
- Variational iteration method for solving the multi -- pantograph delay equation
- Delay differential equations: with applications in population dynamics
- A comparative study on the stability of Laplace-Adomian algorithm and numerical methods in generalized pantograph equations
- Generalized Jacobi rational spectral method on the half line
- A Jacobi-Gauss-Lobatto collocation method for solving generalized Fitzhugh-Nagumo equation with time-dependent coefficients
- Computational aspects of pseudospectral Laguerre approximations
- The variational iteration method for solving a neutral functional-differential equation with proportional delays
- Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type
- The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
- A new Fibonacci type collocation procedure for boundary value problems
- Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations
- Unification of the Bernstein-type polynomials and their applications
- A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations
- Approximate solution of multi-pantograph equation with variable coefficients
- A Jacobi rational pseudospectral method for Lane-Emden initial value problems arising in astrophysics on a semi-infinite interval
- Bernstein series solutions of pantograph equations using polynomial interpolation
- A taylor collocation method for solving high-order linear pantograph equations with linear functional argument
- On the application of spline functions to initial value problems with retarded argument
- Chebyshev rational spectral and pseudospectral methods on a semi‐infinite interval
- A practical preconditioner for sparse banded linear systems
- The Adomian decomposition method for solving delay differential equation
- Spectral Methods
- A rational approximation and its applications to differential equations on the half line
This page was built for publication: A pseudospectral algorithm for solving multipantograph delay systems on a semi-infinite interval using Legendre rational functions