Browsing by Author "Ejaz, Syeda Tehmina"

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Citation Count: Mustafa, Ghulam...et al. (2020). "A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems", Mathematical Biosciences and Engineering, Vol. 17, No. 6, pp. 6659-6677.
A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems
(2020) Mustafa, Ghulam; Baleanu, Dumitru; Ejaz, Syeda Tehmina; Anju, Kaweeta; Ahmadian, Ali; Salahshour, Soheil; Ferrara, Massimiliano; 56389
In this paper, we first present a 6-point binary interpolating subdivision scheme (BISS) which produces a C 2 continuous curve and 4th order of approximation. Then as an application of the scheme, we develop an iterative algorithm for the solution of 2nd order nonlinear singularly perturbed boundary value problems (NSPBVP). The convergence of an iterative algorithm has also been presented. The 2nd order NSPBVP arising from combustion, chemical reactor theory, nuclear engineering, control theory, elasticity, and fluid mechanics can be solved by an iterative algorithm with 4th order of approximation.
Citation Count: Mustafa, Ghulam...et al. (2020). "A subdivision-based approach for singularly perturbed boundary value problem", Advances in Difference Equations, Vol. 2020, No. 1.
A subdivision-based approach for singularly perturbed boundary value problem
(2020) Mustafa, Ghulam; Ejaz, Syeda Tehmina; Baleanu, Dumitru; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy; 56389
A numerical approach for solving second order singularly perturbed boundary value problems (SPBVPs) is introduced in this paper. This approach is based on the basis function of a 6-point interpolatory subdivision scheme. The numerical results along with the convergence, comparison and error estimation of the proposed approach are also presented.
Citation Count: Mustafa, Ghulam...et al. (2020). "The inequalities for the analysis of a class of ternary refinement schemes", AIMS Mathematics, Vol. 5, No. 6, pp. 7582-7604.
The inequalities for the analysis of a class of ternary refinement schemes
(2020) Mustafa, Ghulam; Ejaz, Syeda Tehmina; Baleanu, Dumitru; Chu, Yu-Ming; 56389
The ternary refinement schemes are the generalized version of the binary refinement schemes. This class of the schemes produce the smooth curves with the less number of refinement steps as compared to the binary class of schemes. In this paper, we present the inequalities for the analysis of a class of ternary refinement schemes. There are three simple algebraic expressions in each inequality. Further these algebraic expressions contain only the coefficients used in the refinement rules of the ternary schemes.
Citation Count: Ejaz, Syeda Tehmina...et al. (2020). "The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm", AIP Advances, Vol. 10, No. 9.
The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm
(2020) Ejaz, Syeda Tehmina; Baleanu, Dumitru; Mustafa, Ghulam; Malik, Safia; Chu, Yu-Ming; 56389
The subdivision scheme is used to illustrate smooth curves and surfaces. It is an algorithmic technique which takes a coarse polygon as an input and produces a refined polygon as an output. In this paper, a 10-point interpolating subdivision scheme is used to develop a numerical algorithm for the solution of fourth order nonlinear singularly perturbed boundary value problems (NSPBVPs). The studies of convergence and approximation order of the numerical algorithm are also presented. The solution of NSPBVPs is presented to see the efficiency of the algorithm.
Citation Count: Ejaz, Syeda Tehmina...et al. (2021). "The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints", Advances in Difference Equations, Vol. 2021, No. 1.
The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints
(2021) Ejaz, Syeda Tehmina; Mustafa, Ghulam; Baleanu, Dumitru; Chu, Yu-Ming; 56389
We first present a generalized class of binary interpolating refinement schemes and their properties. Then the refinement-schemes-based unified algorithms for the solution of certain nth order linear and nonlinear differential equations with a set of constraints are presented. Moreover, several algorithms based on the refinement schemes for solving differential equations are the special cases of our algorithms.