Solving singularly perturbed fredholm integro-differential equation using exact finite difference method [PDF]
BMC Research Notes, 2023 Objectives In this paper, a numerical scheme is designed for solving singularly perturbed Fredholm integro-differential equation. The scheme is constructed via the exact (non-standard) finite difference method to approximate the differential part and the
Solomon Regasa Badeye +2 more
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A fitted operator numerical method for singularly perturbed Fredholm integro-differential equation with integral initial condition [PDF]
BMC Research NotesObjectives In this paper, a uniformly convergent numerical scheme is proposed for solving a singularly perturbed Fredholm integro-differential equation with an integral initial condition.
Aklilu Fufa Oljira +1 more
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An efficient variable stepsize rational method for stiff, singular and singularly perturbed problems
Alexandria Engineering Journal, 2022 In this article, a new iterative method of the rational type having fifth-order of accuracy is proposed to solve initial value problems. The method is self-starting, stable, consistent, and convergent, whereas local truncation error analysis has also ...
Sania Qureshi +5 more
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Dynamic analysis of delayed vaccination process along with impact of retrial queues
Computational and Mathematical Biophysics, 2023 An unprecedented and precise time-scheduled rollout for the vaccine is needed for an effective vaccination process. This study is based on the development of a novel mathematical model considering a delay in vaccination due to the inability to book a ...
Chauhan Sudipa +3 more
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Time-fractional nonlinear Swift-Hohenberg equation: Analysis and numerical simulation
Alexandria Engineering Journal, 2020 In this paper, a new scheme based on the exponential fitting technique is presented for solving the nonlinear time-fractional Swift-Hohenberg equation, where the first and second-order derivatives are replaced by Caputo fractional derivative.
W.K. Zahra, M.A. Nasr, Dumitru Baleanu
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An adaptive stepsize algorithm for the numerical solving of initial-value problems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 The present paper focuses on the efficient numerical solving of initial-value problems (IVPs) using digital computers and one-step numerical methods. We start from considering that the integration stepsize is the crucial factor in determining the number ...
Militaru Romulus
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Demonstratio MathematicaThis article investigates new analytical wave solutions within the beta (β\beta ) fractional framework (Fκ\kappa IIAE and Fκ\kappa IIBE) of the Kuralay II equations, which are significant in the field of nonlinear optics.
Ege Serife Muge
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Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition. [PDF]
BMC Res Notes, 2023 Wondimu GM +3 more
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Low-rank Parareal: a low-rank parallel-in-time integrator. [PDF]
BIT Numer Math, 2023 Carrel B, Gander MJ, Vandereycken B.
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F-actin bending facilitates net actomyosin contraction By inhibiting expansion with plus-end-located myosin motors. [PDF]
J Math Biol, 2022 Tam AKY, Mogilner A, Oelz DB.
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