Results 11 to 20 of about 1,124 (201)
A Nonstandard Finite Difference Method for a Generalized Black–Scholes Equation [PDF]
Symmetry, 2022 An implicit finite difference scheme for the numerical solution of a generalized Black–Scholes equation is presented. The method is based on the nonstandard finite difference technique. The positivity property is discussed and it is shown that the proposed method is consistent, stable and also the order of the scheme respect to the space variable is ...
Mohammad Mehdizadeh Khalsaraei +4 more
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A nonstandard fitted operator finite difference method for two-parameter singularly perturbed time-delay parabolic problems [PDF]
Frontiers in Applied Mathematics and Statistics, 2023 In this article, a class of singularly perturbed time-delay two-parameter second-order parabolic problems are considered. The presence of the two small parameters attached to the derivatives causes the solution of the given problem to exhibit boundary ...
Mekashaw Ali Mohye +2 more
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Abstract and Applied Analysis, 2014 Two nonstandard finite difference schemes are derived to solve the regularized long wave equation. The criteria for choosing the “best” nonstandard approximation to the nonlinear term in the regularized long wave equation come from considering the ...
E. Momoniat
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An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection [PDF]
International Journal of Applied Mathematics and Computer Science, 2013 We formulate and analyze an unconditionally stable nonstandard finite difference method for a mathematical model of HIV transmission dynamics. The dynamics of this model are studied using the qualitative theory of dynamical systems. These qualitative features of the continuous model are preserved by the numerical method that we propose in this paper ...
Hasim A. Obaid +2 more
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Ain Shams Engineering Journal, 2023 In this paper, we analyze the fractional compartmental model in the sense of Caputo derivative for the dynamics of the novel human papillomavirus, which causes cervical cancer.
Asma Rashid Butt +4 more
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Optimal Rate of Convergence for a Nonstandard Finite Difference Galerkin Method Applied to Wave Equation Problems [PDF]
Journal of Applied Mathematics, 2013 The optimal rate of convergence of the wave equation in both the energy and the L2-norms using continuous Galerkin method is well known. We exploit this technique and design a fully discrete scheme consisting of coupling the nonstandard finite difference
Pius W. M. Chin
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Mathematical and Computational Applications, 2018 The motivation for this study is to introduce and motivate the use of nonstandard finite difference (NSFD) schemes, capable of solving one-compartment pharmacokinetic models.
Oluwaseun Egbelowo
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A New Stochastic Split-Step θ-Nonstandard Finite Difference Method for the Developed SVIR Epidemic Model with Temporary Immunities and General Incidence Rates. [PDF]
Vaccines (Basel), 2022 In this paper, an SVIR epidemic model with temporary immunities and general incidence rates is constructed and analyzed. By utilizing Lyapunov functions, we prove the existence and uniqueness of the positive global solution of the constructed model, as ...
Alkhazzan A, Wang J, Nie Y, Hattaf K.
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Discover Applied SciencesThis article focuses on the numerical solution of a time-dependent parabolic problem that exhibits singular perturbations and involves two perturbation parameters. To address this problem, a fitted mesh finite difference method is developed. In numerical
Mekashaw Ali Mohye +5 more
doaj +3 more sources