A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations

article published in 2013

A Jacobi Dual-Petrov Galerkin-Jacobi Collocation Method for Solving Korteweg-de Vries Equations

A Jacobi Dual-Petrov-Galerkin Method for Solving Some Odd-Order Ordinary Differential Equations

A Legendre tau-spectral method for solving time-fractional heat equation with nonlocal conditions

scientific article published on 25 June 2014

A Legendre-Gauss collocation method for neutral functional-differential equations with proportional delays

article published in 2013

A Modified Generalized Laguerre Spectral Method for Fractional Differential Equations on the Half Line

A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line

A New Legendre Collocation Method for Solving a Two-Dimensional Fractional Diffusion Equation

A New Legendre Spectral Galerkin and Pseudo-Spectral Approximations for Fractional Initial Value Problems

A New Numerical Algorithm for Solving a Class of Fractional Advection-Dispersion Equation with Variable Coefficients Using Jacobi Polynomials

A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions

article published in 2014

A Shifted Jacobi-Gauss Collocation Scheme for Solving Fractional Neutral Functional-Differential Equations

A new exponential Jacobi pseudospectral method for solving high-order ordinary differential equations

A new modified generalized Laguerre operational matrix of fractional integration for solving fractional differential equations on the half line

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 space-time spectral collocation algorithm for the variable order fractional wave equation.

scientific article

An Accurate Spectral Galerkin Method for Solving Multiterm Fractional Differential Equations

article published in 2014

An Efficient Collocation Method for a Class of Boundary Value Problems Arising in Mathematical Physics and Geometry

An Efficient Numerical Approach for Solving Nonlinear Coupled Hyperbolic Partial Differential Equations with Nonlocal Conditions

An Extension of the Legendre-Galerkin Method for Solving Sixth-Order Differential Equations with Variable Polynomial Coefficients

An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays

An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems

An efficient spectral collocation algorithm for nonlinear Phi-four equations

An improved collocation method for multi-dimensional space–time variable-order fractional Schrödinger equations

An operational matrix of fractional integration of the Laguerre polynomials and its application on a semi-infinite interval

Approximate Solutions of Fisher's Type Equations with Variable Coefficients

Approximation of eigenvalues of discontinuous Sturm-Liouville problems with eigenparameter in all boundary conditions

article published in 2013

Computation of eigenvalues of discontinuous dirac system using Hermite interpolation technique

article published in 2012

Computing Eigenvalues of Discontinuous Sturm-Liouville Problems with Eigenparameter in All Boundary Conditions Using Hermite Approximation

Correction: New Operational Matrices for Solving Fractional Differential Equations on the Half-Line

scientific article published on 14 September 2015

Correction: New Operational Matrices for Solving Fractional Differential Equations on the Half-Line

scientific article published on 30 October 2015

Effects of Viscous Dissipation on the Thermal Boundary Layer of Pseudoplastic Power-Law Non-Newtonian Fluids Using Discretization Method and the Boubaker Polynomials Expansion Scheme

Fast Spectral Collocation Method for Solving Nonlinear Time-Delayed Burgers-Type Equations with Positive Power Terms

Fractional and Time-Scales Differential Equations

Integrals of Bernstein polynomials: An application for the solution of high even-order differential equations

article published in 2011

New Algorithm for the Numerical Solutions of Nonlinear Third-Order Differential Equations Using Jacobi-Gauss Collocation Method

New Solutions for (1+1)-Dimensional and (2+1)-Dimensional Ito Equations

New Trends on Fractional and Functional Differential Equations

article

New operational matrices for solving fractional differential equations on the half-line

scientific article published on 21 May 2015

New spectral collocation algorithms for one- and two-dimensional Schrödinger equations with a Kerr law nonlinearity

Numerical Algorithms for Computing Eigenvalues of Discontinuous Dirac System Using Sinc-Gaussian Method

scholarly article by A. H. Bhrawy et al published 2012 in Abstract and Applied Analysis

Numerical Solution of a Class of Functional-Differential Equations Using Jacobi Pseudospectral Method

Numerical Solutions of Odd Order Linear and Nonlinear Initial Value Problems Using a Shifted Jacobi Spectral Approximations

article published in 2012

Numerical algorithm for the variable-order Caputo fractional functional differential equation

scientific article published in 2016

On a Generalized Laguerre Operational Matrix of Fractional Integration

On the Derivatives of Bernstein Polynomials: An Application for the Solution of High Even-Order Differential Equations

Recent Theory and Applications on Numerical Algorithms and Special Functions

Spectral Shifted Jacobi Tau and Collocation Methods for Solving Fifth-Order Boundary Value Problems

The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation

The operational matrix of Caputo fractional derivatives of modified generalized Laguerre polynomials and its applications

article published in 2013

Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems

scholarly article by D. Baleanu et al published 2013 in Abstract and Applied Analysis

Two shifted Jacobi-Gauss collocation schemes for solving two-dimensional variable-order fractional Rayleigh-Stokes problem