A comparison of numerical methods to solve fractional partial differential equations (original) (raw)

Numerical methods for fourth-order fractional integro-differential equations

Muhammad Isro Noor

Applied Mathematics and Computation, 2006

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Formulation of Some Fractional Evolution Equations used in Mathematical Physics

Essam Abulwafa

2011

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Numerical Study of Fractional Differential Equations of Lane-Emden Type by Method of Collocation

Mohammed .Mechee

Applied Mathematics, 2012

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Fractional Mathieu equation

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Communications in Nonlinear Science and Numerical Simulation, 2010

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Azali Saudi

2014 International Conference of Advanced Informatics: Concept, Theory and Application (ICAICTA), 2014

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Quantitative local and global a priori estimates for fractional nonlinear diffusion equations

Juan Luis Vazquez

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A semi-analytic method for fractional-order ordinary differential equations: Testing results

Sergiy Reutskiy

Fractional Calculus and Applied Analysis, 2018

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Compact difference method for solving the fractional reaction–subdiffusion equation with Neumann boundary value condition

YangQuan Chen

International Journal of Computer Mathematics, 2014

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Discretization of conformable fractional differential equations by a piecewise constant approximation

Fuat Gurcan

International Journal of Computer Mathematics, 2018

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The numerical solution of fractional integral equations via orthogonal polynomials in fractional powers

Tianyi Pu

arXiv (Cornell University), 2022

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Full-Sweep SOR Iterative Method to Solve Space-Fractional Diffusion Equations

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Study of fractional order Van der Pol equation

SH Ong

Journal of King Saud University - Science, 2015

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ARA-residual power series method for solving partial fractional differential equations

Aliaa Burqan

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A Reliable Algorithm for Fractional Schrödinger Equations

Umer Hayat

Walailak Journal of Science and Technology, 2012

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Solution of Fractional Differential Equations Involving Hilfer-Hadamard Fractional Derivatives

Lata Chanchlani

Indian journal of science and technology, 2024

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Rothe’s method for solving some fractional integral diffusion equation

Abdur Raheem

Applied Mathematics and Computation, 2014

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The Numerical Solutions of a Two-Dimensional Space-Time Riesz-Caputo Fractional Diffusion Equation

Necati Özdemir

An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2011

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Solving the time-fractional diffusion equation via Sinc–Haar collocation method

Hamid Haj Javadi

Applied Mathematics and Computation, 2015

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An analytic algorithm for time fractional nonlinear reaction–diffusion equation based on a new iterative method

ram k pandey

Communications in Nonlinear Science and Numerical Simulation, 2012

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A Novel Technique for Fractional Bagley–Torvik Equation

Onur Saldır

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2018

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Analytic Solution of Fractional-Order Heat- and Wave-Like Equations Using Generalized n -dimensional Differential Transform Method

ram k pandey

Zeitschrift für Naturforschung A, 2011

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A comparison of numerical solutions of fractional diffusion models in finance

Ofir Marom

Nonlinear Analysis: Real World Applications, 2009

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Local fractional Sumudu decomposition method for linear partial differential equations with local fractional derivative

djamel ziane

Journal of King Saud University - Science, 2017

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High Order Numerical Methods for Fractional Terminal Value Problems

Magda Rebelo

Computational Methods in Applied Mathematics, 2014

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