Search Results - finite difference methods for initial value AND initial-boundary value problems involving des*

A face‐centred finite volume method for second‐order elliptic problems by Sevilla, Ruben, Giacomini, Matteo, Huerta, Antonio

“…Summary This work proposes a novel finite volume paradigm, ie, the face‐centred finite volume (FCFV) method…”
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High-Order Narrow Stencil Finite-Difference Approximations of Second-Order Derivatives Involving Variable Coefficients by Kamakoti, Ramji, Pantano, Carlos

“…High-order-accuracy finite-difference approximations are developed for problems involving arbitrary variable coefficients in the second-order derivatives, e.g…”
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A micropolar fluid model of blood flow through a tapered artery with a stenosis by Abdullah, Ilyani, Amin, Norsarahaida

“… The governing equations involving unsteady nonlinear partial differential equations are solved using a finite difference scheme…”
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Numerical analysis and simulation of delay parabolic partial differential equation involving a small parameter by Govindarao, Lolugu, Mohapatra, Jugal

“…Purpose The purpose of this paper is to provide an efficient and robust second-order monotone hybrid scheme for singularly perturbed delay parabolic convection-diffusion initial boundary value problem…”
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Efficient Numerical Solutions for Fuzzy Time Fractional Convection Diffusion Equations Using Two Explicit Finite Difference Methods by Al-Khateeb, Areen

“… The main focus of this paper comprises the development, analysis, and application of two explicit finite difference schemes to solve an initial boundary value problem involving a fuzzy time fractional convection…”
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Numerical solutions of fuzzy time fractional advection‐diffusion equations in double parametric form of fuzzy number by Zureigat, Hamzeh, Ismail, Ahmad Izani, Sathasivam, Saratha

“… In this paper, two implicit finite difference schemes are developed, analyzed, and applied to solve an initial boundary value problem involving fuzzy time fractional advection…”
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Two-layer Gravity Currents with Topography by Montgomery, P. J., Moodie, T. B.

“…Two‐dimensional and time‐dependent gravity currents involving the initial release of a fixed volume of heavy fluid over a gradually sloping bottom and underlying a layer of lighter fluid are considered…”
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A positivity-preserving nonstandard finite difference scheme for the damped wave equation by Mickens, Ronald E., Jordan, P. M.

“…‐boundary value problem involving heat transfer described by the Maxwell‐Cattaneo thermal conduction law, i.e…”
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Condition-dependent Hilbert spaces for steepest descent and application to the Tricomi equation by Montgomery, Jason W

“… The finite analogue of the descent method is applied to example problems involving finite difference equations…”
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High Order Summation-by-Parts Methods in Time and Space by Lundquist, Tomas

“…This thesis develops the methodology for solving initial boundary value problems with the use of summation-by-parts discretizations…”
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Instability in Discrete Algorithms and Exact Reversibility by Vichniac, Gérard Y.

“…) are numerically exactly reversible: after any number of steps, the initial conditions can be recovered exactly, despite numerical roundoff…”
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Computation of wave propagation in integrated optical devices by Koch, Thomas Bertold

“…This thesis describes a theoretical investigation using numerical methods to analyse the propagation of electromagnetic waves in integrated optical devices of arbitrary longitudinal and transverse geometry. The classical BPM…”
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