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Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet

Journal of computational and applied mathematics, 2017-01, Vol.309, p.493-510

2017

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A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations

Numerical algorithms, 2017, Vol.74 (1), p.223-245

2017

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Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets

Journal of computational and applied mathematics, 2009-03, Vol.225 (1), p.87-95

2009

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Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations

Numerical algorithms, 2018-04, Vol.77 (4), p.1283-1305

2018

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An efficient approximate method for solving delay fractional optimal control problems

Nonlinear dynamics, 2016-11, Vol.86 (3), p.1649-1661

2016

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Some error estimates for solving Volterra integral equations by using the reproducing kernel method

Journal of computational and applied mathematics, 2015-01, Vol.273, p.245-250

2015

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Spectral iterative method and convergence analysis for solving nonlinear fractional differential equation

Journal of computational physics, 2018-04, Vol.359, p.436-450

2018

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A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions

Computers & mathematics with applications (1987), 2011-07, Vol.62 (1), p.187-198

2011

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Normalized Bernstein polynomials in solving space-time fractional diffusion equation

Advances in difference equations, 2017-10, Vol.2017 (1), Article 346

2017

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An improved model along with a spectral numerical simulation for fractional predator–prey interactions

Engineering with computers, 2022-08, Vol.38 (Suppl 3), p.2467-2480

2022

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Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions

Journal of computational and applied mathematics, 2008-10, Vol.220 (1-2), p.51-57

2008

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A fast numerical method for fractional partial differential equations

Advances in difference equations, 2019-10, Vol.2019 (1), Article 452

2019

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Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions

Communications in nonlinear science & numerical simulation, 2011-03, Vol.16 (3), p.1164-1175

2011

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Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Gauss product quadrature rules

Communications in nonlinear science & numerical simulation, 2012-03, Vol.17 (3), p.1215-1223

2012

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Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions

Journal of computational and applied mathematics, 2008-05, Vol.214 (2), p.495-508

2008

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A numerical method based on hybrid functions for solving a fractional model of HIV infection of CD4+ T cells

Mathematical sciences (Karaj, Iran), 2023-06, Vol.17 (2), p.157-167

2023

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Bernstein modal basis: Application to the spectral Petrov‐Galerkin method for fractional partial differential equations

Mathematical methods in the applied sciences, 2017-12, Vol.40 (18), p.7663-7672

2017

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Some notes on using the homotopy perturbation method for solving time-dependent differential equations

Mathematical and computer modelling, 2009-07, Vol.50 (1), p.213-224

2009

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Bernstein dual-Petrov–Galerkin method: application to 2D time fractional diffusion equation

Computation and applied mathematics, 2018-05, Vol.37 (2), p.2335-2353

2018

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Numerical solution of nonlinear Volterra–Fredholm integro-differential equations via direct method using triangular functions

Computers & mathematics with applications (1987), 2009-07, Vol.58 (2), p.239-247

2009

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Numerical solutions of multi-order fractional differential equations by Boubaker polynomials

Open Physics, 2016-01, Vol.14 (1), p.226-230

2016

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LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations

Computational & applied mathematics, 2019-09, Vol.38 (3), Article 135

2019

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Numerical solutions of the nonlinear Volterra–Fredholm integral equations by using homotopy perturbation method

Applied mathematics and computation, 2007-05, Vol.188 (1), p.446-449

2007

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Analytic approximate solutions to Burgers, Fisher, Huxley equations and two combined forms of these equations

Communications in nonlinear science & numerical simulation, 2009-05, Vol.14 (5), p.1984-1992

2009

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Banded operational matrices for Bernstein polynomials and application to the fractional advection-dispersion equation

Numerical algorithms, 2017-08, Vol.75 (4), p.1041-1063

2017

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Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet

A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations

Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets

Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations

An efficient approximate method for solving delay fractional optimal control problems

Some error estimates for solving Volterra integral equations by using the reproducing kernel method

Spectral iterative method and convergence analysis for solving nonlinear fractional differential equation

A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions

Normalized Bernstein polynomials in solving space-time fractional diffusion equation

An improved model along with a spectral numerical simulation for fractional predator–prey interactions

Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions

A fast numerical method for fractional partial differential equations

Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions

Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Gauss product quadrature rules

Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions

A numerical method based on hybrid functions for solving a fractional model of HIV infection of CD4+ T cells

Bernstein modal basis: Application to the spectral Petrov‐Galerkin method for fractional partial differential equations

Some notes on using the homotopy perturbation method for solving time-dependent differential equations

Bernstein dual-Petrov–Galerkin method: application to 2D time fractional diffusion equation

Numerical solution of nonlinear Volterra–Fredholm integro-differential equations via direct method using triangular functions

Numerical solutions of multi-order fractional differential equations by Boubaker polynomials

LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations

Numerical solutions of the nonlinear Volterra–Fredholm integral equations by using homotopy perturbation method

Analytic approximate solutions to Burgers, Fisher, Huxley equations and two combined forms of these equations

Banded operational matrices for Bernstein polynomials and application to the fractional advection-dispersion equation

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