A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations
From MaRDI portal
Publication:2448391
DOI10.1016/j.apnum.2013.11.003zbMath1302.65175OpenAlexW1991801930MaRDI QIDQ2448391
Ramy M. Hafez, Ali H. Bhrawy, Dumitru Baleanu, Eid H. Doha
Publication date: 30 April 2014
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2013.11.003
collocation methodfunctional differential equationspantograph equationJacobi rational functionJacobi rational-Gauss quadrature
Related Items
Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order, Shifted Gegenbauer-Gauss Collocation Method for Solving Fractional Neutral Functional-Differential Equations with Proportional Delays, Modified Jacobi-Bernstein basis transformation and its application to multi-degree reduction of Bézier curves, Solving generalized pantograph equations by shifted orthonormal Bernstein polynomials, Approximate controllability of Sobolev type fractional evolution systems with nonlocal conditions, Laguerre polynomial approach for solving Lane-Emden type functional differential equations, An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system, A rational spectral collocation method for third-order singularly perturbed problems, An alternative use of fuzzy transform with application to a class of delay differential equations, Initial value problems with retarded argument solved by iterated quadratic splines, A fractional model with parallel fractional Maxwell elements for amorphous thermoplastics, Numerical solution of pantograph-type delay differential equations using perturbation-iteration algorithms, A highly accurate Jacobi collocation algorithm for systems of high‐order linear differential–difference equations with mixed initial conditions, A latency fractional order model for HIV dynamics, A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations, Legendre-Chebyshev spectral collocation method for two-dimensional nonlinear reaction-diffusion equation with Riesz space-fractional, Transformed Hermite functions on a finite interval and their applications to a class of singular boundary value problems, A new numerical method to solve pantograph delay differential equations with convergence analysis, 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, Highly accurate technique for solving distributed-order time-fractional-sub-diffusion equations of fourth order, On the existence of solutions for some infinite coefficient-symmetric Caputo-fabrizio fractional integro-differential equations, Generalized Lucas polynomial sequence treatment of fractional pantograph differential equation, New numerical solutions for solving Kidder equation by using the rational Jacobi functions, On solving systems of multi-pantograph equations via spectral tau method, Collocation method based on rational Legendre functions for solving the magneto-hydrodynamic flow over a nonlinear stretching sheet, Numerical solutions for variable-order fractional Gross-Pitaevskii equation with two spectral collocation approaches, Efficient Spectral Collocation Algorithm for Solving Parabolic Inverse Problems, An optimal method for approximating the delay differential equations of noninteger order, Unnamed Item, A numerical technique for solving functional integro-differential equations having variable bounds, An efficient numerical approach for solving nonlinear coupled hyperbolic partial differential equations with nonlocal conditions, Stepsize restrictions for nonlinear stability properties of neutral delay differential equations, An efficient collocation method for a class of boundary value problems arising in mathematical physics and geometry, A new Legendre collocation method for solving a two-dimensional fractional diffusion equation, A modified generalized Laguerre-Gauss collocation method for fractional neutral functional-differential equations on the half-line, A pseudospectral algorithm for solving multipantograph delay systems on a semi-infinite interval using Legendre rational functions, Jacobi spectral approximation for boundary value problems of nonlinear fractional pantograph differential equations, A new operational approach for numerical solution of generalized functional integro-differential equations, A new collocation method for approximate solution of the pantograph functional differential equations with proportional delay, Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System, Optical solitons for Chen-Lee-Liu equation with two spectral collocation approaches, On spectral methods for solving variable-order fractional integro-differential equations, A shifted Jacobi-Gauss collocation scheme for solving fractional neutral functional-differential equations, Numerical algorithm for solving multi-pantograph delay equations on the half-line using Jacobi rational functions with convergence analysis, Fractional-order Bessel functions with various applications., A new computational approach for the solutions of generalized pantograph-delay differential equations, The asymptotic behaviours of a class of neutral delay fractional-order pantograph differential equations, Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation, Numerical solution of multi-pantograph delay boundary value problems via an efficient approach with the convergence analysis, New formulas for the repeated integrals of some Jacobi polynomials: spectral solutions of even-order boundary value problems, A highly accurate collocation algorithm for 1 + 1 and 2 + 1 fractional percolation equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation
- A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations
- On shifted Jacobi spectral method for high-order multi-point boundary value problems
- A collocation method using Hermite polynomials for approximate solution of pantograph equations
- Variational iteration method for solving the multi -- pantograph delay equation
- An efficient direct solver for multidimensional elliptic Robin boundary value problems using a Legendre spectral-Galerkin method
- Generalized Jacobi rational spectral method on the half line
- A Taylor method for numerical solution of generalized pantograph equations with linear functional argument
- Computational aspects of pseudospectral Laguerre approximations
- Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials
- Solution of delay differential equations via a homotopy perturbation method
- Variational iteration method for solving a generalized pantograph equation
- Solution of delay differential equation by means of homotopy analysis method
- The pantograph equation in the complex plane
- Convergence of the infinite element methods for the Helmholtz equation in separable domains
- Pseudospectral methods on a semi-infinite interval with application to the hydrogen atom: A comparison of the mapped Fourier-sine method with Laguerre series and rational Chebyshev expansions
- Runge-Kutta methods for the multi-pantograph delay equation
- Orthogonal rational functions on a semi-infinite interval
- On the attainable order of collocation methods for pantograph integro-differential equations
- Properties of analytic solution and numerical solution of multi-pantograph equation
- Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations
- A continuous method for nonlocal functional differential equations with delayed or advanced arguments
- Approximate solution of multi-pantograph equation with variable coefficients
- Second order Jacobi approximation with applications to fourth-order differential equations
- A Bessel collocation method for numerical solution of generalized pantograph equations
- A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term
- Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
- On neutral functional-differential equations with variable time delays
- Chebyshev rational spectral and pseudospectral methods on a semi‐infinite interval
- A method for the approximate solution of the second‐order linear differential equations in terms of Taylor polynomials
- A practical preconditioner for sparse banded linear systems
- Rational Legendre Approximation for Solving some Physical Problems on Semi-Infinite Intervals
- The Adomian decomposition method for solving delay differential equation
- Stability of the Discretized Pantograph Differential Equation
- Integration processes of ordinary differential equations based on Laguerre-Radau interpolations
- Spectral Methods
- A rational approximation and its applications to differential equations on the half line