[HTML][HTML] Generalization of a class of uniformly optimized k-step hybrid block method for solving two-point boundary value problems
This study aims to develop, analyze and implement an efficient method for approximating
two-point boundary value problems of ordinary differential equations. The method contains …
two-point boundary value problems of ordinary differential equations. The method contains …
[HTML][HTML] A convergence-preserving non-standard finite difference scheme for the solutions of singular Lane-Emden equations
The derivation of numerical schemes for the solution of Lane-Emden equations requires
meticulous consideration because they are highly nonlinear in nature; have singularity …
meticulous consideration because they are highly nonlinear in nature; have singularity …
A computational approach to solving some applied rigid second-order problems
When a differential equation exhibits chaos, stiffness, damping and/or oscillation in its
solution component, such a differential equation is termed rigid. Over the years, solving such …
solution component, such a differential equation is termed rigid. Over the years, solving such …
Estimating neutrosophic finite median employing robust measures of the auxiliary variable
Our study explores neutrosophic statistics, an extension of classical and fuzzy statistics, to
address the challenges of data uncertainty. By leveraging accurate measurements of an …
address the challenges of data uncertainty. By leveraging accurate measurements of an …
A numerical scheme for harmonic stochastic oscillators based on asymptotic expansions
C Scalone - Mathematics, 2022 - mdpi.com
In this work, we provide a numerical method for discretizing linear stochastic oscillators with
high constant frequencies driven by a nonlinear time-varying force and a random force. The …
high constant frequencies driven by a nonlinear time-varying force and a random force. The …
Hermite fitted block integrator for solving second-order anisotropic elliptic type PDEs
A Hermite fitted block integrator (HFBI) for numerically solving second-order anisotropic
elliptic partial differential equations (PDEs) was developed, analyzed, and implemented in …
elliptic partial differential equations (PDEs) was developed, analyzed, and implemented in …
Stability analysis of a nonlinear malaria transmission epidemic model using an effective numerical scheme
JJ He, A Aljohani, S Mustafa, A Shokri… - Scientific Reports, 2024 - nature.com
Malaria is a fever condition that results from Plasmodium parasites, which are transferred to
humans by the attacks of infected female Anopheles mosquitos. The deterministic …
humans by the attacks of infected female Anopheles mosquitos. The deterministic …
[HTML][HTML] Leveraging feed-forward neural networks to enhance the hybrid block derivative methods for system of second-order ordinary differential equations
This study introduces an innovative method combining discrete hybrid block techniques and
artificial intelligence to enhance the solution of second-order Ordinary Differential Equations …
artificial intelligence to enhance the solution of second-order Ordinary Differential Equations …
Taylor Series for the Mittag–Leffler Functions and Their Multi-Index Analogues
J Paneva-Konovska - Mathematics, 2022 - mdpi.com
It has been obtained that the n-th derivative of the 2-parametric Mittag–Leffler function is a 3-
parametric Mittag–Leffler function, with exactness to a constant. Following the analogy, the …
parametric Mittag–Leffler function, with exactness to a constant. Following the analogy, the …
Computer Model of Pump–Well–Reservoir System Based on the New Concept of Imitational Modeling of Dynamic Systems
A new concept of simulation modeling of dynamic systems is developed. The basic notions
and terms of the concept are outlined, as well as the principles of creating a simulation …
and terms of the concept are outlined, as well as the principles of creating a simulation …