This paper develops a novel boundary meshless approach, Laplace transformed boundary
particle method (LTBPM), for numerical modeling of time fractional diffusion equations. It …

The method of approximate particular solutions (MAPS) is an alternative radial basis
function (RBF) meshless method, which is defined in terms of a linear combination of the …

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 paper mainly presents numerical solutions to an initial-boundary value problem of the
time-fractional Klein-Gordon equations. We developed a numerical scheme with the help of …

In this paper a method for the numerical solution of distributed order FDEs (fractional
differential equations) of a general form is presented. The method applies to both linear and …

Fractional calculus has been broadly used in diverse engineering applications. In this
regard, vibrations of fractional oscillators subject to stochastic loads have attracted …

The main aim of this study is to develop a new DRBEM methodology for solving nonlinear
fractional sub-diffusion bio-heat ultrasonic wave propagation problems during …

This short communication presents the Singular Boundary Method (SBM) to solve the
obliquely incident water wave passing through the submerged breakwater. The SBM is a …

This paper considers nonlinear vibration of fractional viscoelastic Polyethylene
Terephthalate (PET) membranes subjected to external excitation. Particular attention has …

In this paper we apply the boundary elements method (BEM) and the dual reciprocity
boundary elements method (DRBEM) for the numerical solution of two-dimensional time …