Now showing items 1-20 of 35

• L²- Optimal order error for two-dimensional coupled burgers’ equations by weak Galerkin finite element method ﻿

(Işık University Press, 2022)
In this paper, we present a continuous time and discrete time weak Galerkin finite element schemes for solving non linear two Dimensional coupled Burgers’ equations with a stabilization term. We use special weak form ...
• Cubic B-spline collocation method for coupled system of ordinary differential equations with various boundary conditions ﻿

(Işık University Press, 2022)
This paper is concerned with collocation approach using cubic B-spline to solve coupled system of boundary value problems with various boundary conditions. The collocation equations are methodically derived using cubic B ...
• Efficient sensing of ground-borne vibrations induced by pile driving using compressive sampling ﻿

(Işık University Press, 2022)
In this paper, we propose and discuss the applicability of the compressive sensing (CS) for the measurement and analysis of the ground-borne vibrations induced by pile driving. With this motivation, we consider two types ...
• Uniqueness and stability of solutions for a coupled system of nabla fractional difference boundary value problems ﻿

(Işık University Press, 2022)
In this article, we obtain sufficient conditions on existence, uniqueness and Ulam–Hyers stability of solutions for a coupled system of two-point nabla fractional difference boundary value problems, using Banach, Brouwer ...
• A note on extended beta function involving generalized Mittag-Leffler function and its applications ﻿

(Işık University Press, 2022)
The main object of this paper is to introduce a new extension of beta function involving generalized Mittag-leffler function and study its important properties, like integral representation, summation formula, derivative ...
• Maximum and minimum degree energies of p-splitting and p-shadow graphs ﻿

Let vi and vj be two vertices of a graph G. The maximum degree matrix of G is given in [2] by dij = {max {di, dj} if vi and vj are adjacent 0 otherwise. Similarly the (i, j)-th entry of the minimum degree matrix is defined ...
• Evaluation of some explicit summation formulae for truncated Gauss function and applications ﻿

(Işık University Press, 2022)
In this paper, some explicit expressions for truncated Gauss’ hypergeometric series ₂F₁ with argument 2, when one numerator and one denominator parameters are negative integers such as ₂F₁ [−m, a; −2m + j; 2]m ; m > j and ...
• On bipolar complex intuitionistic fuzzy graphs ﻿

(Işık University Press, 2022)
In the present article, we devised the novel approach on the bipolar complex intuitionistic fuzzy set, bipolar complex intuitionistic fuzzy graphs and operations namely composition, cartesian product, join and union of the ...
• Solution of the two-dimensional telegraph equation via the local radial basis functions method ﻿

(Işık University Press, 2022)
In the present study, we utilize the local meshless method for solving second order hyperbolic partial differential equation in two dimensions. First we apply the Crank-Nicolson difference scheme for the time derivative ...
• Modified differential transformation method for solving classes of non-linear differential equations ﻿

(Işık University Press, 2022)
In this research article, a numerical scheme namely modified differential transformation method (MDTM) is employed successfully to obtain accurate approximate solutions for classes of nonlinear differential equations. This ...
• DNA Intuitionistic fuzzy turing machine ﻿

(Işık University Press, 2022)
The restriction enzymes of bacteria are used to cut and insert the two strands of double-stranded DNA at different positions that cause overhangs of single stranded DNA. We developed an encoding transition table of an ...
• Kn(λ) is fully {P7, S4}-decomposable ﻿

(Işık University Press, 2022)
Let Pk+1 denote a path of length k, Sm denote a star with m edges, and Kn(λ) denote the complete multigraph on n vertices in which every pair of distinct vertices is joined by λ edges. In this paper, we have obtained the ...
• Convergence analysis of picard-s hybrid iteration scheme for multi-valued map having a fixed point ﻿

(Işık University Press, 2022)
In this paper, we define Picard-S hybrid iteration for a multi-valued mapping of T with an invariant point η along with explanation that under certain conditions, this iteration gets converged to an invariant point ζ ...
• Topological indices of Sierpiński Gasket and Sierpiński Gasket Rhombus graphs ﻿

(Işık University Press, 2022)
Sierpiński graphs S(n, k) were defined originally in 1997 by Sandi Klavžar and Uroš Milutinović. In this paper atom bond connectivity index, fourth atom bond connectivity indices, geometric arithmetic index, fifth geometric ...
• Doubly connected pitchfork domination and it’s inverse in graphs ﻿

(Işık University Press, 2022)
Let G be a finite, simple, undirected graph and without isolated vertices. A subset D of V is a pitchfork dominating set if every vertex v ∈ D dominates at least j and at most k vertices of V − D, for any j and k integers. ...
• Almost unbiased ridge estimator in the zero-inated Poisson regression model ﻿

(Işık University Press, 2022)
The zero-inflated Poisson regression (ZIP) model is a very popular model for count data that have extra zeros. In some situations, the count data are correlated and so multicollinearity exists among the explanatory variables. ...
• Mathematical model for the dispersion of toxicity through commuters ﻿

(Işık University Press, 2022)
In the proposed paper, we consider three types of vehicle. One is those vehicles which are used for personal purposes called private vehicles. Second is for public transportation named as public vehicles. Third one is used ...
• Some incomplete Riemann-Liouville fractional derivative operators ﻿

(Işık University Press, 2022)
Several investigations were done by many researchers on extended fractional derivatives operators using different kinds of extended Beta functions (see, e.g.,([4],[7],[8],[18],[20]), and references therein). In this sequel, ...
• Color Laplacian energy of some cluster graphs ﻿

The color energy of a graph G is defined as the sum of the absolute values of the color eigenvalues of G. The graphs with large number of edges are referred as cluster graphs. Cluster graphs are obtained from complete ...
• Cyclical nonlinear contractive mappings fixed point theorems with application to integral equations ﻿

(Işık University Press, 2022)
In this paper, we present new nonlinear contractions based on altering distances and prove the existence and uniqueness of fixed points for cyclic operators. We prove here very interesting fixed point theorems in which we ...