Iranian Journal of Numerical Analysis and Optimization
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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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

A novel integral transform operator and its applications
(20230901)The proposed study is focused to introduce a novel integral transform operator, called Generalized Bivariate (GB) transform. The proposed transform includes the features of the recently introduced Shehu transform, ARA ...

Nearest fuzzy number of type LR to an arbitrary fuzzy number with applications to fuzzy linear system
(20230901)The fuzzy operations on fuzzy numbers of type LR are much easier than general fuzzy numbers. It would be interesting to approximate a fuzzy number by a fuzzy number of type LR. In this paper, we state and prove two ...

Cubic hatfunctions approximation for linear and nonlinear fractional integraldifferential equations with weakly singular kernels
(20230901)In the current study, a new numerical algorithm is presented to solve a class of nonlinear fractional integraldifferential equations with weakly singular kernels. Cubic hat functions (CHFs) and their properties are ...

Analysis and optimal control of a fractional MSD model
(20230901)In this research, we aim to analyze a mathematical model of Maize streak virus disease as a problem of fractional optimal control. For dynamical analysis, the boundedness and uniqueness of solutions have been investigated ...

An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials
(20230901)This study addresses the inverse issue of identifying the spacedependent heat source of the heat equation, which is stated using the optimal control framework. For the numerical solution of this class of problems, an ...

Effective numerical methods for nonlinear singular twopoint boundary value Fredholm integrodifferential equations
(20230901)We deal with some effective numerical methods for solving a class of nonlinear singular twopoint boundary value Fredholm integrodifferential equations. Using an appropriate interpolation and a qorder quadrature rule of ...

Evaluation of iterative methods for solving nonlinear scalar equations
(20230901)This study is aimed at performing a comprehensive numerical evaluation of the iterative solution techniques without memory for solving nonlinear scalar equations with simple real roots, in order to specify the most ...

Solving twodimensional coupled Burgers equations via a stable hybridized discontinuous Galerkin method
(20230901)The purpose of this paper is to design a fully discrete hybridized discontinuous Galerkin (HDG) method for solving a system of twodimensional (2D) coupled Burgers equations over a specified spatial domain. The semidiscrete ...

Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings
(20230901)In this article, we find a priori and a posteriori error estimates of the fixed point for the Picard iteration associated with a noncyclic contraction map, which is defined on a uniformly convex Banach space with a modulus ...

On optimality and duality for multiobjective intervalvalued programming problems with vanishing constraints
(20230901)In this study, we explore the theoretical features of a multiobjective intervalvalued programming problem with vanishing constraints. In view of this, we have defined a multiobjective intervalvalued programming problem ...