This work aims to propose a new analyzing tool, called the fractional iteration algorithm I for
finding numerical solutions of nonlinear time fractional-order Cauchy reaction-diffusion …

The role of integer and noninteger order partial differential equations (PDE) is essential in
applied sciences and engineering. Exact solutions of these equations are sometimes difficult …

Variational iteration method has been extensively employed to deal with linear and
nonlinear differential equations of integer and fractional order. The key property of the …

In current study, the modified variational iteration algorithm-I is investigated in the form of the
analytical and numerical treatment of different types of nonlinear partial differential …

In this article, we construct exact solutions of the Bogoyavlenskii equation using (1/G′)-
expansion and (G′/G, 1/G)-expansion techniques. Both techniques have been successfully …

In this article, the soliton solutions of the Gilson–Pickering equation have been constructed
using the sinh-Gordon function method (ShGFM) and (G′/G, 1/G)-expansion method, which …

In this article, a simple and new algorithm is proposed, namely the modified variational
iteration algorithm-I (mVIA-I), for obtaining numerical solutions to different types of fifth-order …

Oil spills in the seas and oceans cause pollution and have many destructive environmental
effects. The diffusion (parabolic) equations are the most reasonable option to model the …

In this study, a radial basis function collocation method (RBFCM) is proposed for the
numerical treatment of inverse space-wise dependent heat source problems. Multiquadric …

In this study, analytical solutions are presented for the (2+ 1)-dimensional Boiti–Leon–
Pempinelli (BLP) system, which has an important physical property in hydrodynamics. The …