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A new compact finite difference quasilinearization method for nonlinear evolution partial differential equations

open access: yesOpen Mathematics, 2017
This article presents a new method of solving partial differential equations. The method is an improvement of the previously reported compact finite difference quasilinearization method (CFDQLM) which is a combination of compact finite difference schemes
Dlamini P.G., Khumalo M.
doaj   +1 more source

Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary

open access: yes, 2020
We study nonlinear hyperbolic conservation laws posed on a differential (n+1)-manifold with boundary referred to as a spacetime, and defined from a prescribed flux field of n-forms depending on a parameter (the unknown variable), a class of equations ...
Giesselmann, Jan, LeFloch, Philippe G.
core   +1 more source

Electromagnetic radiation from ingested sources in the human intestine between 150 MHz and 1.2 GHz [PDF]

open access: yes, 2003
The conventional method of diagnosing disorders of the human gastro-intestinal (GI) tract is by sensors embedded in cannulae that are inserted through the anus, mouth, or nose.
Chirwa, L.C.   +3 more
core   +1 more source

On high-order compact schemes for the multidimensional time-fractional Schrödinger equation

open access: yesAdvances in Difference Equations, 2020
In this article, some high-order compact finite difference schemes are presented and analyzed to numerically solve one- and two-dimensional time fractional Schrödinger equations.
Rena Eskar, Xinlong Feng, Ehmet Kasim
doaj   +1 more source

Comparison of Wide and Compact Fourth Order Formulations of the Navier-Stokes Equations [PDF]

open access: yes, 2008
In this study the numerical performances of wide and compact fourth order formulation of the steady 2-D incompressible Navier-Stokes equations will be investigated and compared with each other.
Anderson   +24 more
core   +1 more source

A new fourth-order explicit group method in the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid

open access: yesAdvances in Difference Equations, 2020
In this article, a new explicit group iterative scheme is developed for the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid.
Muhammad Asim Khan   +2 more
doaj   +1 more source

Higher order compact finite difference method for the solution of 2-D time fractional diffusion equation [PDF]

open access: yesMatrix Science Mathematic, 2018
The main purpose of this study is to work on the solution of two-dimensional time fractional diffusion equation In this research work we apply the HOC scheme to approximate the second order space derivative. To obtain a discrete implicit scheme, Grunwald-
Muhammad Usman   +2 more
doaj   +1 more source

An Efficient Compact Finite Difference Method for the Solution of the Gross-Pitaevskii Equation

open access: yesAdvances in Condensed Matter Physics, 2015
We present an efficient, unconditionally stable, and accurate numerical method for the solution of the Gross-Pitaevskii equation. We begin with an introduction on the gradient flow with discrete normalization (GFDN) for computing stationary states of a ...
Rongpei Zhang, Jia Liu, Guozhong Zhao
doaj   +1 more source

Tunable photonic crystal filter for terahertz frequency applications [PDF]

open access: yes, 2003
In this Paper we investigate a tunable metallic photonic crystal filter with a novel mechanical tuning method, suitable for use in terahertz frequency applications.
Blaikie, R.J.   +2 more
core   +1 more source

Solution of the Porous Media Equation by a Compact Finite Difference Method [PDF]

open access: yesMathematical Problems in Engineering, 2009
Accurate solutions of the porous media equation that usually occurs in nonlinear problems of heat and mass transfer and in biological systems are obtained using a compact finite difference method in space and a low‐storage total variation diminishing third‐order Runge‐Kutta scheme in time.
openaire   +5 more sources

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