Iranian Journal of Numerical Analysis and Optimization
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ارسال های اخیر
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Improving the performance of the FCM algorithm in clustering using the DBSCAN algorithm
(2023-12-01)The fuzzy-C-means (FCM) algorithm is one of the most famous fuzzy clus-tering algorithms, but it gets stuck in local optima. In addition, this algo-rithm requires the number of clusters. Also, the density-based spatial of ...
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Optimal control analysis for modeling HIV transmission
(2023-12-01)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 ...
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Numerical study of sine-Gordon equations using Bessel collocation method
(2023-12-01)The nonlinear space time dynamics have been discussed in terms of a hyper-bolic equation known as a sine-Gordon equation. The proposed equation has been discretized using the Bessel collocation method with Bessel poly-nomials ...
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Singularly perturbed two-point boundary value problem by applying exponential fitted finite difference method
(2023-12-01)The present study addresses an exponentially fitted finite difference method to obtain the solution of singularly perturbed two-point boundary value problems (BVPs) having a boundary layer at one end (left or right) point ...
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Numerical solution of fractional Bagley–Torvik equations using Lucas polynomials
(2023-12-01)The aim of this article is to present a new method based on Lucas poly-nomials and residual error function for a numerical solution of fractional Bagley–Torvik equations. Here, the approximate solution is expanded as a ...
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A shifted fractional-order Hahn functions Tau method for time-fractional PDE with nonsmooth solution
(2023-12-01)In this paper, a new orthogonal system of nonpolynomial basis functions is introduced and used to solve a class of time-fractional partial differential equations that have nonsmooth solutions. In fact, unlike polynomial ...
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Numerical nonlinear model solutions for the hepatitis C transmission between people and medical equipment using Jacobi wavelets method
(2023-12-01)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 com-bined with the ...
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A robust uniformly convergent scheme for two parameters singularly perturbed parabolic problems with time delay
(2023-12-01)A singularly perturbed time delay parabolic problem with two small pa-rameters is considered. The paper develops a finite difference scheme that is exponentially fitted on a uniform mesh in the spatial direction and uses ...
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Collection-based numerical method for multi-order fractional integro-differential equations
(2023-12-01)In this paper, the standard collocation approach is used to solve multi-order fractional integro-differential equations using Caputo sense. We obtain the integral form of the problem and transform it into a system of linear ...
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A generalized form of the parametric spline methods of degree (2k + 1) for solving a variety of two-point boundary value problems
(2023-12-01)In this paper, a high order accuracy method is developed for finding the approximate solution of two-point boundary value problems. The present approach is based on a special algorithm, taken from Pascal's triangle, for ...
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A novel integral transform operator and its applications
(2023-09-01)The proposed study is focused to introduce a novel integral transform op-erator, called Generalized Bivariate (GB) transform. The proposed trans-form includes the features of the recently introduced Shehu transform, ARA ...
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Nearest fuzzy number of type L-R to an arbitrary fuzzy number with applications to fuzzy linear system
(2023-09-01)The fuzzy operations on fuzzy numbers of type L-R are much easier than general fuzzy numbers. It would be interesting to approximate a fuzzy number by a fuzzy number of type L-R. In this paper, we state and prove two ...
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Cubic hat-functions approximation for linear and nonlinear fractional integral-differential equations with weakly singular kernels
(2023-09-01)In the current study, a new numerical algorithm is presented to solve a class of nonlinear fractional integral-differential equations with weakly singular kernels. Cubic hat functions (CHFs) and their properties are ...
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Analysis and optimal control of a fractional MSD model
(2023-09-01)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 investi-gated ...
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An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials
(2023-09-01)This study addresses the inverse issue of identifying the space-dependent heat source of the heat equation, which is stated using the optimal con-trol framework. For the numerical solution of this class of problems, an ...
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Effective numerical methods for nonlinear singular two-point boundary value Fredholm integro-differential equations
(2023-09-01)We deal with some effective numerical methods for solving a class of nonlinear singular two-point boundary value Fredholm integro-differential equations. Using an appropriate interpolation and a q-order quadrature rule of ...
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Evaluation of iterative methods for solving nonlinear scalar equations
(2023-09-01)This study is aimed at performing a comprehensive numerical evalua-tion of the iterative solution techniques without memory for solving non-linear scalar equations with simple real roots, in order to specify the most ...
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Solving two-dimensional coupled Burgers equations via a stable hybridized discontinuous Galerkin method
(2023-09-01)The purpose of this paper is to design a fully discrete hybridized discon-tinuous Galerkin (HDG) method for solving a system of two-dimensional (2D) coupled Burgers equations over a specified spatial domain. The semi-discrete ...
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Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings
(2023-09-01)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 ...
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On optimality and duality for multiobjective interval-valued programming problems with vanishing constraints
(2023-09-01)In this study, we explore the theoretical features of a multiobjective interval-valued programming problem with vanishing constraints. In view of this, we have defined a multiobjective interval-valued programming prob-lem ...
