Numerical Solutions of Fractional Differential Equations Arising in Engineering Sciences

Numerical solutions of space-fractional advection-diffusion equations with nonlinear source term

(2020) Alessandra Jannelli et al.   APPLIED NUMERICAL MATHEMATICS

A new collection of real world applications of fractional calculus in science and engineering

(2018) HongGuang Sun et al.   Communications in Nonlinear Science and Numerical Simulation

Exact and numerical solutions of time-fractional advection–diffusion equation with a nonlinear source term by means of the Lie symmetries

(2018) Alessandra Jannelli et al.   NONLINEAR DYNAMICS

A Finite Difference Method on Non-Uniform Meshes for Time-Fractional Advection–Diffusion Equations with a Source Term

(2018) Riccardo Fazio et al.   Applied Sciences-Basel

Analytical and numerical solutions of time and space fractional advection–diffusion–reaction equation

(2018) Alessandra Jannelli et al.   Communications in Nonlinear Science and Numerical Simulation

Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

(2016) Na Zhang et al.   Advances in Applied Mathematics and Mechanics

Modeling of breakthrough curves of single and quaternary mixtures of ethanol, glucose, glycerol and acetic acid adsorption onto a microporous hyper-cross-linked resin

(2013) Jingwei Zhou et al.   BIORESOURCE TECHNOLOGY

Stability and convergence of a finite volume method for the space fractional advection–dispersion equation

(2013) H. Hejazi et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

(2013) Fanhai Zeng et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Approximate solution to the time–space fractional cubic nonlinear Schrodinger equation

(2012) Mohamed A.E. Herzallah et al.   APPLIED MATHEMATICAL MODELLING

A new improved Adomian decomposition method and its application to fractional differential equations

(2012) Lina Song et al.   APPLIED MATHEMATICAL MODELLING

The second kind Chebyshev wavelet method for solving fractional differential equations

(2012) Yanxin Wang et al.   APPLIED MATHEMATICS AND COMPUTATION

Modelling of breakthrough curves of single and binary mixtures of Cu(II), Cd(II), Ni(II) and Pb(II) sorption onto grape stalks waste

(2012) Carlos Escudero et al.   CHEMICAL ENGINEERING JOURNAL

Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions

(2012) Jincheng Ren et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Application of homotopy analysis method for fractional Swift Hohenberg equation – Revisited

(2011) K. Vishal et al.   APPLIED MATHEMATICAL MODELLING

The Legendre wavelet method for solving fractional differential equations

(2011) Mujeeb ur Rehman et al.   Communications in Nonlinear Science and Numerical Simulation

Decomposition-transform method for Fractional Differential Equations

(2011) Naeem Faraz et al.   INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

A mathematical modeling arising in the chemical systems and its approximate numerical solution

(2011) Sunil Kumar et al.   Asia-Pacific Journal of Chemical Engineering

Study of the effects of the Reynolds number on circular porous slider via variational iteration algorithm-II

(2010) Naeem Faraz   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On shock solutions to balance equations for slow and fast chemical reaction

(2008) F. Conforto et al.   APPLIED MATHEMATICS AND COMPUTATION

Homotopy analysis method for the Kawahara equation

(2008) S. Abbasbandy   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Approximate solution for the nonlinear model of diffusion and reaction in porous catalysts by means of the homotopy analysis method

(2007) S. Abbasbandy   CHEMICAL ENGINEERING JOURNAL