In this article, we introduced a new concept of mappings called δZA - Quasi contractive mapping and we study the K*- iteration process for approximation of fixed points, and we proved that this iteration process is faster than the existing leading iteration processes like Noor iteration process, CR -iteration process, SP and Karahan Two- step iteration process for 𝛿𝒵𝒜 − quasi contraction mappings. We supported our analytic proof by a numerical example.
In this article, a new efficient approach is presented to solve a type of partial differential equations, such (2+1)-dimensional differential equations non-linear, and nonhomogeneous. The procedure of the new approach is suggested to solve important types of differential equations and get accurate analytic solutions i.e., exact solutions. The effectiveness of the suggested approach based on its properties compared with other approaches has been used to solve this type of differential equations such as the Adomain decomposition method, homotopy perturbation method, homotopy analysis method, and variation iteration method. The advantage of the present method has been illustrated by some examples.
ÖZET
Irak’ın osmanlıcada yazılan sayısız elyazmalar çeşitli illerinde bulunur. Bunlardan Irak’ın başkenti olan Bağdat’tır. Irak Ulusal Müzesi Bağdad’ın uygarlık yerlerindendir. Elyazması Evi müzenin en önemli bölümleri sayılır. Orada osmanlıcada yazılan çok değerli elyazmalar bulunur. Bu elyazmalarından birisini ( fotokopi ) elde edip üzerinde çalışılmaktadır. Eser Antoloji şeklinde yazılmış. Bu eserden Sadullah Pâşâ’nın On Dokuzuncu Asır Manzumesini seçip ele alınmaktadır.
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