Results 21 to 30 of about 1,064 (91)
On the numerical solution of the diffusion equation with a nonlocal boundary condition
Mathematical Problems in Engineering, Volume 2003, Issue 2, Page 81-92, 2003., 2003 Parabolic partial differential equations with nonlocal boundary specifications feature in the mathematical modeling of many phenomena. In this paper, numerical schemes are developed for obtaining approximate solutions to the initial boundary value problem for one‐dimensional diffusion equation with a nonlocal constraint in place of one of the standard ...
Mehdi Dehghan
wiley +1 more source
A robust method of lines solution for singularly perturbed delay parabolic problem
Alexandria 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 +1 more source
Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation
Ain 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
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Computing Solution Operators of Boundary-value Problems for Some Linear Hyperbolic Systems of PDEs [PDF]
Logical Methods in Computer Science, 2017 We discuss possibilities of application of Numerical Analysis methods to proving computability, in the sense of the TTE approach, of solution operators of boundary-value problems for systems of PDEs.
Svetlana Selivanova, Victor Selivanov
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Stability of central finite difference schemes for the Heston PDE
, 2010 This paper deals with stability in the numerical solution of the prominent Heston partial differential equation from mathematical finance. We study the well-known central second-order finite difference discretization, which leads to large semi-discrete ...
A Böttcher +14 more
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Alexandria 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 +1 more source
Perfectly Matched Layers in a Divergence Preserving ADI Scheme for Electromagnetics
, 2011 For numerical simulations of highly relativistic and transversely accelerated charged particles including radiation fast algorithms are needed. While the radiation in particle accelerators has wavelengths in the order of 100 um the computational domain ...
A. Adelmann +10 more
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Alexandria 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
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.Numerical solutions for second‐order parabolic partial differential equations (PDEs), specifically the nonlinear heat equation, are investigated with a focus on analyzing residual corrections. Initially, the Galerkin weighted residual method is employed to rigorously formulate the heat equation and derive numerical solutions using third‐degree ...
Md. Shafiqul Islam +3 more
wiley +1 more source
Ain Shams Engineering Journal, 2018 A class of basis functions so called well-conditioned RBF (WRBFs) has been introduced. This basis has been manipulated by adding cardinal functions to the conditionally negative definite RBFs of order 1, such as Multiquadric functions 1+(∊r)2 (MQ) and ...
Saeed Kazem +2 more
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