This article presents a new iterative method (NIM) for the investigation of the approximate
solution of the Klein‐Gordon and sine‐Gordon equations. This approach is formulated on …

In the present work, a new fractional analytical scheme (NFAS) is developed to obtain the
approximate results of fourth-order parabolic fractional partial differential equations (FPDEs) …

This paper presents the idea of the Sawi iterative scheme (SIS) to derive the analytical
solution of nonlinear delay differential equations (DDEqs). We apply the Sawi transform to …

In this article, a new version of the generalized F‐expansion method is proposed enabling to
obtain the exact solutions of the Biswas‐Arshed equation and Boussinesq equation defined …

In this study, the exact solutions of the Biswas‐Arshed equation with the beta time derivative,
which has an important role and physically means that it represents the pulse propagation in …

In the current analysis, we developed a significant approach for deriving the approximate
solution of the Newell-Whitehead-Segel model with Caputo derivatives. This scheme is …

In this study, we present a new procedure for the numerical solution of boundary value
problems. This approach is mainly founded on the Fibonacci polynomial expansions, the so …

In this study, the traveling wave solutions of a nonlinear partial differential equation (NPDE)
called as Geophysics Korteweg‐de Vries (GpKdV) equation are obtained using the modified …

Nonlinear chaotic finance systems are represented by nonlinear ordinary differential
equations and play a significant role in micro-and macroeconomics. In general, these …

In this article, the exact solutions of the stochastic conformable Broer–Kaup equations with
conformable derivatives which describe the bidirectional propagation of long waves in …