Results 51 to 60 of about 1,345 (122)

Modelling of thermal damage process in soft tissue subjected to laser irradiation

open access: yesJournal of Applied Mathematics and Computational Mechanics, 2018
The numerical analysis of thermal damage process proceeding in biological tissue during laser irradiation is presented. Heat transfer in the tissue is assumed to be transient and two-dimensional.
M. Jasiński
semanticscholar   +1 more source

Numerical Simulation of Moving Contact Lines with Surfactant by Immersed Boundary Method

open access: yes, 2010
In this paper, we present an immersed boundary method for simulating moving contact lines with surfactant. The governing equations are the incompressible Navier-Stokes equations with the usual mixture of Eulerian fluid variables and Lagrangian ...
M. Lai, Yu-Hau Tseng, Huaxiong Huang
semanticscholar   +1 more source

Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation

open access: yesAin Shams Engineering Journal, 2018
In this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation.
H.S. Shekarabi, J. Rashidinia
doaj  

A robust method of lines solution for singularly perturbed delay parabolic problem

open access: yesAlexandria Engineering Journal, 2020
A numerical method is proposed to solve a non-autonomous singularly perturbed parabolic differential equation with a time delay. The solution is obtained by a step by step discretisation process. First the spatial derivatives are discretised via a fitted
Nana Adjoah Mbroh   +2 more
doaj  

A second order finite difference scheme for singularly perturbed Volterra integro-differential equation

open access: yesAlexandria Engineering Journal, 2020
In this paper, a singularly perturbed Volterra integro-differential equation, characterised by a single layer, is investigated. A numerical technique which uses a non-standard finite difference scheme is implemented to solve the differential part ...
Nana Adjoah Mbroh   +2 more
doaj  

Modelling and analysis of fractal-fractional partial differential equations: Application to reaction-diffusion model

open access: yesAlexandria Engineering Journal, 2020
In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi   +2 more
doaj  

Hermite Weno Schemes with Strong Stability Preserving Multi-Step Temporal Discretization Methods for Conservation Laws

open access: yes, 2017
Based on the work of Shu [SIAM J. Sci. Stat. Comput, 9 (1988), pp.1073-1084], we construct a class of high order multi-step temporal discretization procedure for finite volume Hermite weighted essential non-oscillatory (HWENO) methods to solve hyperbolic
Xiaofeng Cai, Jun Zhu, J. Qiu
semanticscholar   +1 more source

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