In this paper, a non-polynomial-based trigonometric cubic B-spline collocation method is
developed to solve the reaction-diffusion singularly perturbed problems with Robin …

The two major concerns associated with the use of bone cement are the generation of
residual stresses and possible thermal necrosis of surrounding bone. An accurate modelling …

A finite volume element method is presented for solving singularly perturbed reaction–
diffusion problems in two-dimensional domain. The concept of the finite volume method is …

There is a class of problems that exhibit smooth behavior on macroscopic scales, where
only a microscopic evolution law is known. Patch dynamics scheme ofequation-free …

A finite volume element method is developed for analyzing unsteady scalar reaction–
diffusion problems in two dimensions. The method combines the concepts that are …

Fourier series multiscale method, a concise and efficient analytical approach for multiscale
computation, will be developed out of this series of papers. In the sixth paper, exact analysis …

A stabilized finite element method is presented for scalar and linear second-order boundary
value problems. The method is obtained by adding to the Galerkin formulation multiple …

Complex multiscale systems such as combined free or porous flow regimes and transport
processes governed by combined diffusion, convection and reaction mechanisms, which …

This thesis is inspired from the wide complexity of the physical systems and consequently by
the necessity to simplify their complexity into fundamental processes. It deals with a wide …

This innovative textbook applies the Modified Fourier Series to a variety of problems
commonly encountered within science and engineering, equipping the reader with a clear …