Volume 12, Issue 2
مرور بر اساس
ارسال های اخیر

A fourthorder method for solving singularly perturbed boundary value problems using nonpolynomial splines
(20220901)In this paper, a class of secondorder singularly perturbed interior layer problems is examined. A nonpolynomial mixed spline is used to develop the tridiagonal scheme. The developed method is second as well as fourthorder ...

A numerical treatment based on Bernoulli Tau method for computing the openloop Nash equilibrium in nonlinear differential games
(20220901)The Tau method based on the Bernoulli polynomials is implemented eﬀiciently to approximate the Nash equilibrium of openloop kind in nonlinear differential games over a finite time horizon. By this treatment, the system ...

On a class of Bézierlike model for shapepreserving approximation
(20220901)A class of Bernsteinlike basis functions, equipped with a shape parameter, is presented. Employing the introduced basis functions, the corresponding curve and surface in rectangular patches are defined based on some ...

Modification of the double direction approach for solving systems of nonlinear equations with application to Chandrasekhar’s Integral equation
(20220901)This study aims to present an accelerated derivativefree method for solving systems of nonlinear equations using a double direction approach. The approach approximates the Jacobian using a suitably formed diagonal matrix ...

Crocodile Hunting Strategy (CHS): A comparative study using benchmark functions
(20220901)The crocodiles have a good strategy for hunting the fishes in nature. These creatures are divided into two groups of chasers and ambushers when hunting. The chasers direct prey toward shallow water with a powerful splash ...

Image denoising via a new hybrid TGV model based on Shannon interpolation
(20220901)A new hybrid variational model is presented for image denoising, which incorporates the merits of Shannon interpolation, total generalized variation (TGV) regularization, and a symmetrized derivative regularization term ...

A numerical approach for singular perturbation problems with an interior layer using an adaptive spline
(20220901)An adaptive spline is used in this work to deal with singularly perturbed boundary value problems with layers in the interior region. To evaluate the layer behavior in the solution, a different technique on a uniform mesh ...

Elzaki transform method for solving deterministic modeling of terrorism
(20220901)A deterministic mathematical model of terrorism with government intervention was constructed from five compartments and subdivided into two core and noncore groups. A noncore group is a general group G(t), while the ...

Hybrid of Blockpulse and orthonormal Bernstein functions for fractional differential equations
(20220901)Differential equations of fractional order have been the focus of many studies due to their frequent appearance in various applications in fluid mechanics, biology, physics, and engineering. In general, it is not easy to ...

A generalization of the ABS algorithms and its application to some special real and integer matrix factorizations
(20220901)In 1984, Abaffy, Broyden, and Spediacto (ABS) introduced a class of the socalled ABS algorithms to solve systems of real linear equations. Later, the scaled ABS, the extended ABS, the block ABS, and the integer ABS ...

Sixthorder compact finite difference method for solving KDVBurger equation in the application of wave propagations
(20220901)Sixthorder compact finite difference method is presented for solving the onedimensional KdVBurger equation. First, the given solution domain is discretized using a uniform discretization grid point in a spatial direction. ...

A fourthorder optimal numerical approximation and its convergence for singularly perturbed time delayed parabolic problems
(20220901)This paper presents a numerical solution for a time delay parabolic problem (reactiondiffusion) containing a small parameter. The numerical method combines the implicit Crank–Nicolson scheme for the time derivative on ...