This paper applies a semi-analytical boundary collocation method, the singular boundary
method (SBM), in conjunction with the dual reciprocity method (DRM) and Laplace …

This study presents a semi-analytical boundary-only collocation technique for solving multi-
term time-fractional diffusion-wave equations. In the present collocation technique, the …

Partial differential equations (PDEs) are widely used in mechanics, control processes,
ecological and economic systems, chemical cycling systems, and epidemiology. Although …

In this paper, the Non-singular Method of Fundamental Solutions (NMFS) is extended to
three-dimensional (3D) isotropic linear elasticity problems. In order to avoid the singularities …

In this paper, a new framework for the numerical solutions of general nonlinear problems is
presented. By employing the analog equation method, the actual problem governed by a …

The paper discusses Trefftz discretization techniques with a focus on their coupling with
shape functions computed by the method of Taylor series. The paper highlights are, on one …

In this work, transient source terms in advection-diffusion problems are recovered. The
solution technique proposed relies on the implicit finite difference method coupled with the …

In this study, an efficient meshfree numerical method is introduced for solving the nonlinear
boundary value problems. The method of fundamental solutions (MFS) is one of the most …

The article presents a numerical–experimental approach to the weldability and mechanical
resistance of the joint of Alloy 59 (2.4605, nickel-chromium-molybdenum) and S355J2W …

The Hausdorff derivative has been recognized as an efficient tool to characterize anomalous
diffusion phenomena. This paper makes the first attempt to numerically investigate three …