Results 21 to 30 of about 1,669 (93)
Novel fixed point approach to Atangana-Baleanu fractional and Lp-Fredholm integral equations
Alexandria Engineering Journal, 2020 In this article, we introduce an extended F-metric and proved related fixed point results. Subsequently, we mainly focus on(a): Solution for the Atangana-Baleanu fractional integral of order ∝ of a function f(t)It∝sABζ(t)=1-∝B(∝)ζ(t)+∝B(∝)Γ(∝)∫0tζ(ρ)(t-ρ)
Sumati Kumari Panda +2 more
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A finite element method for time fractional partial differential equations [PDF]
, 2011 This is the authors' PDF version of an article published in Fractional calculus and applied analysis© 2011. The original publication is available at www.springerlink.comThis article considers the finite element method for time fractional differential ...
Ford, Neville J. +2 more
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Discretizing a backward stochastic differential equation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 2, Page 103-116, 2002., 2002 We show a simple method to discretize Pardoux‐Peng′s nonlinear backward stochastic differential equation. This discretization scheme also gives a numerical method to solve a class of semi‐linear PDEs.
Yinnan Zhang, Weian Zheng
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
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Flux form Semi-Lagrangian methods for parabolic problems [PDF]
, 2015 A semi-Lagrangian method for parabolic problems is proposed, that extends previous work by the authors to achieve a fully conservative, flux-form discretization of linear and nonlinear diffusion equations. A basic consistency and convergence analysis are
Bonaventura, Luca, Ferretti, Roberto
core +3 more sources
A convergence result for discreet steepest decent in weighted sobolev spaces
Abstract and Applied Analysis, Volume 2, Issue 1-2, Page 67-72, 1997., 1997 A convergence result is given for discrete descent based on Sobolev gradients arising from differential equations which may be expressed as quadratic forms. The argument is an extension of the result of David G. Luenberger on Euclidean descent and compliments the work of John W. Neuberger on Sobolev descent.
W. T. Mahavier
wiley +1 more source
The spectral discretization of the second-order wave equation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper we deal with the discretization of the second order wave equation by the implicit Euler scheme for the time and the spectral method for the space. We prove that the time semi discrete and the full discrete problems are well posed.
Abdelwahed Mohamed, Chorfi Nejmeddine
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A robust spectral integral method for solving chaotic finance systems
Alexandria Engineering Journal, 2020 Nonlinear chaotic finance systems are represented by nonlinear ordinary differential equations and play a significant role in micro-and macroeconomics. In general, these systems do not have exact solutions.
Claude Rodrigue Bambe Moutsinga +2 more
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Journal of Ocean Engineering and Science, 2018 A numerical treatment for self-adjoint singularly perturbed second-order two-point boundary value problems using trigonometric quintic B-splines is presented, which depend on different engineering applications.
Khalid K. Ali +2 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