Results 51 to 60 of about 1,345 (122)
Modelling of thermal damage process in soft tissue subjected to laser irradiation
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
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
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
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
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
Uniformly convergent extended cubic B-spline collocation method for two parameters singularly perturbed time-delayed convection-diffusion problems. [PDF]
Negero NT.
europepmc +1 more source
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
A tension spline fitted numerical scheme for singularly perturbed reaction-diffusion problem with negative shift. [PDF]
Ejere AH+3 more
europepmc +1 more source
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
Efficient Numerical Simulation of Biochemotaxis Phenomena in Fluid Environments. [PDF]
Zhou X, Bian G, Wang Y, Xiao X.
europepmc +1 more source