مرور Volume 13, Issue 4, IN PROGRESS, All articles are final and fully citable. بر اساس عنوان
در حال نمایش موارد 1  10 از 10

Collectionbased numerical method for multiorder fractional integrodifferential equations
(20231201)In this paper, the standard collocation approach is used to solve multiorder fractional integrodifferential equations using Caputo sense. We obtain the integral form of the problem and transform it into a system of linear ...

A generalized form of the parametric spline methods of degree (2k + 1) for solving a variety of twopoint boundary value problems
(20231201)In this paper, a high order accuracy method is developed for finding the approximate solution of twopoint boundary value problems. The present approach is based on a special algorithm, taken from Pascal's triangle, for ...

Improving the performance of the FCM algorithm in clustering using the DBSCAN algorithm
(20231201)The fuzzyCmeans (FCM) algorithm is one of the most famous fuzzy clustering algorithms, but it gets stuck in local optima. In addition, this algorithm requires the number of clusters. Also, the densitybased spatial of ...

Numerical nonlinear model solutions for the hepatitis C transmission between people and medical equipment using Jacobi wavelets method
(20231201)In this work, we present a new mathematical model for the spread of hepatitis C disease in two populations: human population and medical equipment population. Then, we apply the Jacobi wavelets method combined with the ...

Numerical solution of fractional Bagley–Torvik equations using Lucas polynomials
(20231201)The aim of this article is to present a new method based on Lucas polynomials and residual error function for a numerical solution of fractional Bagley–Torvik equations. Here, the approximate solution is expanded as a ...

Numerical study of sineGordon equations using Bessel collocation method
(20231201)The nonlinear space time dynamics have been discussed in terms of a hyperbolic equation known as a sineGordon equation. The proposed equation has been discretized using the Bessel collocation method with Bessel polynomials ...

Optimal control analysis for modeling HIV transmission
(20231201)In this study, a modified model of HIV with therapeutic and preventive controls is developed. Moreover, a simple evaluation of the optimal control problem is investigated. We construct the Hamiltonian function by way of ...

A robust uniformly convergent scheme for two parameters singularly perturbed parabolic problems with time delay
(20231201)A singularly perturbed time delay parabolic problem with two small parameters is considered. The paper develops a finite difference scheme that is exponentially fitted on a uniform mesh in the spatial direction and uses ...

A shifted fractionalorder Hahn functions Tau method for timefractional PDE with nonsmooth solution
(20231201)In this paper, a new orthogonal system of nonpolynomial basis functions is introduced and used to solve a class of timefractional partial differential equations that have nonsmooth solutions. In fact, unlike polynomial ...

Singularly perturbed twopoint boundary value problem by applying exponential fitted finite difference method
(20231201)The present study addresses an exponentially fitted finite difference method to obtain the solution of singularly perturbed twopoint boundary value problems (BVPs) having a boundary layer at one end (left or right) point ...