A shifted Jacobi-Gauss collocation scheme for solving fractional neutral functional-differential equations
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Publication:2248375
DOI10.1155/2014/595848zbMath1302.65174OpenAlexW2104906122WikidataQ59046049 ScholiaQ59046049MaRDI QIDQ2248375
Ali H. Bhrawy, Mohammed Ali Alghamdi
Publication date: 26 June 2014
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/595848
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Functional-differential equations with fractional derivatives (34K37) Numerical methods for functional-differential equations (65L03)
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Cites Work
- The numerical solution of the nonlinear Klein-Gordon and sine-Gordon equations using the Chebyshev tau meshless method
- Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations
- Numerical solutions of fractional Riccati type differential equations by means of the Bernstein polynomials
- A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals
- A shifted Legendre spectral method for fractional-order multi-point boundary value problems
- A new numerical algorithm to solve fractional differential equations based on operational matrix of generalized hat functions
- On shifted Jacobi spectral method for high-order multi-point boundary value problems
- Solving partial differential equation with space- and time-fractional derivatives via homotopy decomposition method
- The use of fractional order derivative to predict the groundwater flow
- An efficient direct solver for multidimensional elliptic Robin boundary value problems using a Legendre spectral-Galerkin method
- Rational approximation method for delay differential equations with proportional delay
- Maxwell's equations on Cantor sets: a local fractional approach
- A Jacobi-Gauss-Lobatto collocation method for solving generalized Fitzhugh-Nagumo equation with time-dependent coefficients
- Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations
- The variational iteration method for solving a neutral functional-differential equation with proportional delays
- Brownian and fractional Brownian stochastic currents via Malliavin calculus
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A new modified generalized Laguerre operational matrix of fractional integration for solving fractional differential equations on the half line
- Operational matrices of Chebyshev cardinal functions and their application for solving delay differential equations arising in electrodynamics with error estimation
- A generalized Laguerre-Legendre spectral collocation method for solving initial-boundary value problems
- Spectral collocation method for linear fractional integro-differential equations
- Identification of unknown parameters and orders via cuckoo search oriented statistically by differential evolution for noncommensurate fractional-order chaotic systems
- Two efficient generalized Laguerre spectral algorithms for fractional initial value problems
- Numerical solution of the fractional partial differential equations by the two-dimensional fractional-order Legendre functions
- Approximation solutions for local fractional Schrödinger equation in the one-dimensional Cantorian system
- Spectral-collocation methods for fractional pantograph delay-integrodifferential equations
- Numerical solution of nonlinear fractional differential equations by spline collocation methods
- A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals
- A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations
- Numerical solution of stochastic fractional differential equations
- Approximating solutions of fully fuzzy linear systems: A financial case study
