New Perspective on the Conventional Solutions of the Nonlinear Time-Fractional Partial Differential Equations

A general numerical algorithm for nonlinear differential equations by the variational iteration method

(2020) Ji-Huan He et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Numerical simulation of simulate an anomalous solute transport model via local meshless method

(2020) Imtiaz Ahmad et al.   Alexandria Engineering Journal

The Analytical Analysis of Time-Fractional Fornberg–Whitham Equations

(2020) A. A. Alderremy et al.   Mathematics

Simulating the spread of COVID-19 via a spatially-resolved susceptible–exposed–infected–recovered–deceased (SEIRD) model with heterogeneous diffusion

(2020) Alex Viguerie et al.   APPLIED MATHEMATICS LETTERS

Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method

(2019) Mostafa M. A. Khater et al.   AIP Advances

Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system

(2018) Dianchen Lu et al.   Advances in Difference Equations

New approach for the Fornberg–Whitham type equations

(2017) Bariza Boutarfa et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Solving differential-algebraic equations through variational iteration method with an auxiliary parameter

(2016) H. Ghaneai et al.   APPLIED MATHEMATICAL MODELLING

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

(2016) Abdon Atangana et al.   Thermal Science

Variational iteration method with an auxiliary parameter for solving wave-like and heat-like equations in large domains

(2015) H. Ghaneai et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes

(2015) Liangliang Qiu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations

(2015) A. H. Bhrawy   NUMERICAL ALGORITHMS

Finite difference/spectral approximations to a water wave model with a nonlocal viscous term

(2014) Jun Zhang et al.   APPLIED MATHEMATICAL MODELLING

A mixed finite element method for a time-fractional fourth-order partial differential equation

(2014) Yang Liu et al.   APPLIED MATHEMATICS AND COMPUTATION

A Tutorial Review on Fractal Spacetime and Fractional Calculus

(2014) Ji-Huan He   INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

A new fractional finite volume method for solving the fractional diffusion equation

(2013) F. Liu et al.   APPLIED MATHEMATICAL MODELLING

A comparison study of the LMAPS method and the LDQ method for time-dependent problems

(2013) Xueying Zhang et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Approximate solutions for Fornberg‐Whitham type equations

(2013) Jafar Biazar et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Notes on the optimal variational iteration method

(2012) Ji-Huan He   APPLIED MATHEMATICS LETTERS

Variational iteration method for the time-fractional Fornberg–Whitham equation

(2012) Mehmet Giyas Sakar et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

The construction of operational matrix of fractional derivatives using B-spline functions

(2011) Mehrdad Lakestani et al.   Communications in Nonlinear Science and Numerical Simulation

High-order finite element methods for time-fractional partial differential equations

(2011) Yingjun Jiang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Smooth and non-smooth traveling wave solutions of the Fornberg–Whitham equation with linear dispersion term

(2010) Bo Jiang et al.   APPLIED MATHEMATICS AND COMPUTATION

The homotopy analysis method for solving the Fornberg–Whitham equation and comparison with Adomian’s decomposition method

(2010) Fayçal Abidi et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

An analytical approach to the Fornberg–Whitham type equations by using the variational iteration method

(2010) Junfeng Lu   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Classification of travelling waves in the Fornberg–Whitham equation

(2010) Jiuli Yin et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A study on the convergence of variational iteration method

(2010) Zaid M. Odibat   MATHEMATICAL AND COMPUTER MODELLING

Finite difference/spectral approximations for the fractional cable equation

(2010) Yumin Lin et al.   MATHEMATICS OF COMPUTATION

The variational iteration method: An efficient scheme for handling fractional partial differential equations in fluid mechanics

(2009) Zaid Odibat et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Application of He’s variational iteration method and Adomian’s decomposition method to the fractional KdV–Burgers–Kuramoto equation

(2009) M. Safari et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

The use of He's variational iteration method for solving the telegraph and fractional telegraph equations

(2009) Mehdi Dehghan et al.   International Journal for Numerical Methods in Biomedical Engineering

Approximate solutions of fractional Zakharov–Kuznetsov equations by VIM

(2009) R. Yulita Molliq et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Analytical solution of a fractional diffusion equation by variational iteration method

(2008) S. Das   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A type of bounded traveling wave solutions for the Fornberg–Whitham equation

(2008) Jiangbo Zhou et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method

(2008) Mustafa Inc   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS