An exponential approximation for solutions of generalized pantograph-delay differential equations
From MaRDI portal
Publication:1792018
DOI10.1016/j.apm.2013.04.028zbMath1427.65102OpenAlexW1991487411MaRDI QIDQ1792018
Publication date: 11 October 2018
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2013.04.028
Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Theoretical approximation of solutions to functional-differential equations (34K07) Numerical methods for functional-differential equations (65L03)
Related Items
Pell-Lucas collocation method for solving a class of second order nonlinear differential equations with variable delays ⋮ Collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations ⋮ A new numerical method to solve pantograph delay differential equations with convergence analysis ⋮ Unnamed Item ⋮ Numerical technique for solving fractional generalized pantograph-delay differential equations by using fractional-order hybrid Bessel functions ⋮ Modified Chebyshev collocation method for pantograph-type differential equations ⋮ An iterative framework to solve nonlinear optimal control with proportional delay using successive convexification and symplectic multi-interval pseudospectral scheme ⋮ An actuated computational method for treating parabolic partial delay integro-differential equations constrained by infinite boundary ⋮ Numerical solution of fractional delay Volterra integro-differential equations by Bernstein polynomials ⋮ A collocation method for solving proportional delay Riccati differential equations of fractional order ⋮ Chebyshev spectral methods for multi-order fractional neutral pantograph equations ⋮ Unnamed Item ⋮ A matrix method based on the Fibonacci polynomials to the generalized pantograph equations with functional arguments ⋮ A directly convergent numerical method based on orthoexponential polynomials for solving integro-differential-delay equations with variable coefficients and infinite boundary on half-line ⋮ Orthoexponential polynomial solutions of delay pantograph differential equations with residual error estimation ⋮ Collocation method based on radial basis functions via symmetric variable shape parameter for solving a particular class of delay differential equations ⋮ A Taylor operation method for solutions of generalized pantograph type delay differential equations ⋮ A numerical approach for a nonhomogeneous differential equation with variable delays ⋮ A new computational approach for the solutions of generalized pantograph-delay differential equations ⋮ Shifted Legendre approximation with the residual correction to solve pantograph-delay type differential equations ⋮ The asymptotic behaviours of a class of neutral delay fractional-order pantograph differential equations ⋮ A rational approximate solution for generalized pantograph-delay differential equations ⋮ Exponential spline for the numerical solutions of linear Fredholm integro-differential equations ⋮ An inventive numerical method for solving the most general form of integro-differential equations with functional delays and characteristic behavior of orthoexponential residual function ⋮ A Galerkin-like approach to solve multi-pantograph type delay differential equations ⋮ An exclusive spectral computational approach based on quadratic orthoexponential polynomials for solving integro-differential equations with delays on the real line ⋮ Exponential spline method for approximation solution of Fredholm integro-differential equation
Cites Work
- The spectral methods for parabolic Volterra integro-differential equations
- A collocation method using Hermite polynomials for approximate solution of pantograph equations
- An efficient algorithm for solving generalized pantograph equations with linear functional argument
- Application of Taylor series in obtaining the orthogonal operational matrix
- Variational iteration method for solving the multi -- pantograph delay equation
- A tau approach for solution of the space fractional diffusion equation
- An efficient algorithm for solving multi-pantograph equation systems
- A Taylor method for numerical solution of generalized pantograph equations with linear functional argument
- Variational iteration method for solving a generalized pantograph equation
- A new operational matrix for solving fractional-order differential equations
- Collocation and residual correction
- The pantograph equation in the complex plane
- Properties of analytic solution and numerical solution of multi-pantograph equation
- Generalized refinement equations and subdivision processes
- Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials
- Approximate solution of multi-pantograph equation with variable coefficients
- Collocation method and residual correction using Chebyshev series
- Taylor polynomial solutions of general linear differential-difference equations with variable coefficients
- Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the tau method with an error estimation
- Numerical solution of the system of Fredholm integro-differential equations by the tau method
- On the extension of exponential polynomials
- Bernstein series solutions of pantograph equations using polynomial interpolation
- A Bessel collocation method for numerical solution of generalized pantograph equations
- Reachability analysis of rational eigenvalue linear systems
- An application of exp-function method to approximate general and explicit solutions for nonlinear Schrödinger equations
- Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method
- A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term
- The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics
- Generalized exponential and logarithmic polynomials with statistical applications
- The Adomian decomposition method for solving delay differential equation
- On the asymptotics of solutions of a class of linear functional-differential equations
- A method based on the tau approach for the identification of a time-dependent coefficient in the heat equation subject to an extra measurement
- Stability of the Discretized Pantograph Differential Equation
- On a Functional Differential Equation