The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics
From MaRDI portal
Publication:3616903
DOI10.1088/0031-8949/78/06/065004zbMath1159.78319OpenAlexW2058397818WikidataQ115294290 ScholiaQ115294290MaRDI QIDQ3616903
Mehdi Dehghan, Fatemeh Shakeri
Publication date: 26 March 2009
Published in: Physica Scripta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0031-8949/78/06/065004
Related Items
Two reliable methods for solving the Volterra integral equation with a weakly singular kernel ⋮ An effective numerical method for solving fractional pantograph differential equations using modification of hat functions ⋮ Laguerre approach for solving pantograph-type Volterra integro-differential equations ⋮ روش ماتریسی جدید برای حل تقریبی یک مدل جدید لین-اِمدن منفرد ⋮ Collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations ⋮ Solving a laminar boundary layer equation with the rational Gegenbauer functions ⋮ A numerical approximation based on the Bessel functions of first kind for solutions of Riccati type differential-difference equations ⋮ Analysis of highly nonlinear oscillation systems using He's max-min method and comparison with homotopy analysis and energy balance methods ⋮ Application of Adomian decomposition method to free vibration analysis of thin isotropic rectangular plates submerged in fluid ⋮ A numerical method with a control parameter for integro-differential delay equations with state-dependent bounds via generalized Mott polynomial ⋮ Numerical solution of Riccati equation using the cubic B-spline scaling functions and Chebyshev cardinal functions ⋮ A novel numerical scheme based on Müntz-Legendre wavelets for solving pantograph Volterra delay-integro-differential equations ⋮ Unnamed Item ⋮ A Legendre-Gauss collocation method for neutral functional-differential equations with proportional delays ⋮ A novel shifted Jacobi operational matrix method for nonlinear multi‐terms delay differential equations of fractional variable‐order with periodic and anti‐periodic conditions ⋮ Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials ⋮ Approximation methods for solving fractional equations ⋮ On the solutions of a system of linear retarded and advanced differential equations by the Bessel collocation approximation ⋮ Spectral Galerkin schemes for a class of multi-order fractional pantograph equations ⋮ A matrix method based on the Fibonacci polynomials to the generalized pantograph equations with functional arguments ⋮ Stability of numerical solutions for the stochastic pantograph differential equations with variable step size ⋮ Application of the Exp-function method to the (2+1)-dimensional Boiti–Leon–Pempinelli equation using symbolic computation ⋮ On some modified variational iteration methods for solving the one-dimensional sine–Gordon equation ⋮ Numerical solution of 3D Green's function for the dynamic system of anisotropic elasticity ⋮ Numerical solution of nonlinear delay differential equations of fractional order in reproducing kernel Hilbert space ⋮ A new collocation method for approximate solution of the pantograph functional differential equations with proportional delay ⋮ A numerical approach with error estimation to solve general integro-differential-difference equations using Dickson polynomials ⋮ Additive schemes based domain decomposition algorithm for solving singularly perturbed parabolic reaction-diffusion systems ⋮ The use of variational iteration method and Adomian decomposition method to solve the Eikonal equation and its application in the reconstruction problem ⋮ Numerical solution of the system of nonlinear ordinary differential equations arising in kinetic modeling of lactic acid fermentation and epidemic model ⋮ Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations ⋮ A seminumeric approach for solution of the Eikonal partial differential equation and its applications ⋮ An efficient numerical method for solving coupled Burgers' equation by combining homotopy perturbation and pade techniques ⋮ On Spectral Method for Volterra Functional Integro-Differential Equations of Neutral Type ⋮ Finding the optimal control of linear systems via He's variational iteration method ⋮ Solution of time-varying delay systems using an adaptive collocation method ⋮ Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses ⋮ An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method ⋮ Using differential transform method and Padé approximant for solving MHD flow in a laminar liquid film from a horizontal stretching surface ⋮ Higher order numeric solutions of the Lane–Emden-type equations derived from the multi-stage modified Adomian decomposition method ⋮ Application of the hybrid functions to solve neutral delay functional differential equations ⋮ Collocation method for the numerical solutions of Lane–Emden type equations using cubic Hermite spline functions ⋮ Solution of a nonlinear time-delay model in biology via semi-analytical approaches ⋮ Solution of the differential algebraic equations via homotopy perturbation method and their engineering applications ⋮ Improvement of He's variational iteration method for solving systems of differential equations ⋮ He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations ⋮ Variational iteration method for solving a generalized pantograph equation ⋮ Solutions of a fractional oscillator by using differential transform method ⋮ Unnamed Item ⋮ Solving nonlinear fractional partial differential equations using the homotopy analysis method ⋮ Numerical and analytical investigations for neutral delay fractional damped diffusion-wave equation based on the stabilized interpolating element free Galerkin (IEFG) method ⋮ Approximate traveling wave solutions for coupled Whitham-Broer-Kaup shallow water ⋮ A new computational approach for the solutions of generalized pantograph-delay differential equations ⋮ The global solutions and moment boundedness of stochastic multipantograph equations ⋮ Operational matrices of Chebyshev cardinal functions and their application for solving delay differential equations arising in electrodynamics with error estimation ⋮ An exponential approximation for solutions of generalized pantograph-delay differential equations ⋮ MHD flow and heat transfer over a slender elastic permeable sheet in a rotating fluid with Hall current ⋮ Shifted Legendre approximation with the residual correction to solve pantograph-delay type differential equations ⋮ Stochastic numerical approach for solving second order nonlinear singular functional differential equation ⋮ Reliable analysis for the nonlinear fractional calculus model of the semilunar heart valve vibrations ⋮ The use of He's variational iteration method for solving the telegraph and fractional telegraph equations ⋮ A rational approximate solution for generalized pantograph-delay differential equations ⋮ Legendre wavelet collocation method combined with the Gauss-Jacobi quadrature for solving fractional delay-type integro-differential equations ⋮ Multistep finite difference schemes for the variable coefficient delay parabolic equations ⋮ The homotopy perturbation method for solving the linear and the nonlinear Goursat problems ⋮ The numerical solution of the second Painlevé equation ⋮ Series solution for a delay differential equation arising in electrodynamics ⋮ Numerical Solution of Second-Order Linear Delay Differential and Integro-Differential Equations by Using Taylor Collocation Method ⋮ Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type ⋮ Analytical approach to fractional partial differential equations in fluid mechanics by means of the homotopy perturbation method ⋮ Homotopy perturbation method for numerical solutions of coupled Burgers equations with time‐ and space‐fractional derivatives ⋮ Analytical solution of wave system in Rnwith coupling controllers ⋮ Numerical soliton solution of the Kaup‐Kupershmidt equation ⋮ A computational approximation for the solution of retarded functional differential equations and their applications to science and engineering ⋮ A new tau-collocation method with fractional basis for solving weakly singular delay Volterra integro-differential equations ⋮ Adomian decomposition method solution of population balance equations for aggregation, nucleation, growth and breakup processes ⋮ Unnamed Item
