Results 21 to 30 of about 105 (103)
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 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
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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
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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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Hybrid Fitted Numerical Scheme for Singularly Perturbed Spatiotemporal Delay Differential Equations
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.In this study, a hybrid scheme is presented to solve a singularly perturbed time‐delay differential equation with a delay and advance term in the spatial variable. The scheme combines the midpoint upwind scheme and the cubic spline difference scheme in the outer and inner layer regions, respectively, on a nonuniform mesh for the spatial discretization,
Mulunesh Amsalu Ayele +2 more
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Abstract and Applied AnalysisMSC2020 Classification: 35K55, 35Q92, 45K05 ...
S. C. Oukouomi Noutchie
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A Higher‐Order L1‐2‐3 Numerical Method for Time‐Fractional Volterra Integrodifferential Equations
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper investigates the numerical solution of time‐fractional Volterra integrodifferential equations that arise in many real‐life problems. A higher‐order numerical scheme is proposed using the L1‐2‐3 method for the time‐fractional derivative, Simpson’s 1/3 rule approximates the integral part, and the spatial derivatives are approximated using the ...
Aynalem Tafere Chekole +4 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.We derive quantitative convergence rates for nonlocal‐to‐local limits in a class of multispecies interaction systems with finite‐range kernels. The nonlocal model consists of coupled aggregation–diffusion equations in which intra‐ and interspecies interactions are mediated by short‐range convolution operators.
S. C. Oukouomi Noutchie, John Venetis
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Demonstratio MathematicaThe law of energy dissipation is a crucial characteristic of generalized wave equations. The newly developed scalar auxiliary variable (SAV) method and its extended form, the generalized SAV (GSAV) approach, are widely used techniques for developing ...
Fu Yayun +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study develops a robust hybrid numerical scheme for a class of time‐dependent, singularly perturbed differential‐difference equations characterized by a small positive parameter multiplying the highest order derivative term and mixed spatial shifts (delay and advance) in the reaction terms.
Ababi H. Ejere +4 more
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