The main purpose of this work is to provide a numerical approach for two-dimensional
Volterra integral equations (2D-VIEs). An algorithm based on the use of Taylor polynomials …

This article describes a numerical scheme to solve two-dimensional nonlinear Volterra
integral equations of the second kind. The method estimates the solution by the Galerkin …

A non-linear kernel comprising a function of partial derivatives of arbitrary order is
approximated by Theorem 2 in Ref.[12]. After substituting the kernel approximation in the …

This paper aims at extending the application of two-dimensional differential transform
method (2D-DTM) to study the free vibration of thin plates with arbitrarily varying thickness …

The main purpose of this study was to introduce an efficient approximate approach for
solving a general class of variable-order fractional partial integro-differential equations (VO …

We present an efficient computational algorithm, namely, the enhanced multistage
differential transform method (E‐MsDTM) for solving prey‐predator systems. Since the …

The use of the Geometric Series theorem, together with Schauder bases in certain Banach
spaces, allows us to design a numerical algorithm in order to solve an important type of two …

In this study, an efficient method is presented for solving nonlinear two-dimensional Volterra
integral equations of the second kind. Using block by block method, nonlinear two …

This paper uses fractional growth model modified from McKendrick equation to describe the
growth of abalone length. The fractional model is analyzed by generalized differential …

The paper presents the application of the differential transformation method (DTM) to the
stability analysis of nonuniformly loaded beams under bending. The main advantage of the …