Browsing by Author "Akguel, Ali"

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Citation - WoS: 1
Citation - Scopus: 1
The Extended Laguerre Polynomials {aq,n ^(a)} (X) Involving Q^fq, Q > 2
(Wiley, 2022) Kalim, Muhammad; Akguel, Ali; Jarad, Fahd; Khan, Adnan; Akgül, Ali
In this paper, for the proposed extended Laguerre polynomials {A(q,n )((alpha))}, the generalized hypergeometric function of the type (F)(q)(q), q > 2 and extension of the Laguerre polynomial are introduced. Similar to those related to the Laguerre polynomials, the generating function, recurrence relations, and Rodrigue's formula are determined. Some corollaries are also discussed at the end.
Citation - WoS: 10
Citation - Scopus: 11
Optimal Variational Iteration Method for Parametric Boundary Value Problem
(Amer inst Mathematical Sciences-aims, 2022) Nadeem, Muhammad; Karim, Shazia; Akguel, Ali; Jarad, Fahd; Ain, Qura Tul; Akgül, Ali
Mathematical applications in engineering have a long history. One of the most well-known analytical techniques, the optimal variational iteration method (OVIM), is utilized to construct a quick and accurate algorithm for a special fourth-order ordinary initial value problem. Many researchers have discussed the problem involving a parameter c. We solve the parametric boundary value problem that can't be addressed using conventional analytical methods for greater values of c using a new method and a convergence control parameter h. We achieve a convergent solution no matter how huge c is. For the approximation of the convergence control parameter h, two strategies have been discussed. The advantages of one technique over another have been demonstrated. Optimal variational iteration method can be seen as an effective technique to solve parametric boundary value problem.