The current research aims to develop a fast, stable and efficient numerical procedure for
solving option pricing problems in jump–diffusion models. A backward partial integro …

The distributed-order fractional calculus (DOFC) is a generalization of the fractional calculus
which its application can be found in viscoelasticity, transport processes and control theory …

It is well-known that the inverse heat problems (IHP) are ill-posed such that we encounter to
some difficulties in the numerical techniques. In the current article, a numerical technique …

The coupled advection-dominated diffusion-reaction equations which arise in the prevention
of groundwater contamination problem are approximated by the compact local integrated …

The shallow water equation based on the generalized equal width (GEW) equation is a PDE
that can be classified in the category of hyperbolic PDEs. The current paper concerns …

The purpose of the present paper is to extend and explore the application of a novel
meshless Local Radial Basis Function Collocation Method (LRBFCM) in solution of a …

In this paper, integrated radial basis functions-partition of unity (IRBF-PU) method is
presented for the numerical solution of the one-and two-dimensional coupled Schrödinger …

This article studies a direct numerical approach for fractional advection–diffusion equations
(ADEs). Using a set of cubic trigonometric B-splines as test functions, a differential …

In this paper, we propose a three-point coupled compact integrated radial basis function
(CCIRBF) approximation scheme for the discretisation of second-order differential problems …

In this paper, we propose a simple but effective preconditioning technique to improve the
numerical stability of Integrated Radial Basis Function (IRBF) methods. The proposed …