This paper presents seven modified Adomian Decomposition Method (ADM) techniques for efficiently solving initial value problems, especially those involving non-homogeneous and nonlinear differential equations. While the classical ADM is effective for linear homogeneous cases, it has difficulties solving more complex problems. The proposed modifications—from MADM1 to MLADM—include Maclaurin and Taylor expansions, Laplace transforms, and single-step iterations.• These modifications enhance convergence, reduce complexity, and improve accuracy.• Each method offers specific advantages, such as accelerating convergence (MADM2, RADM4), simplifying computation (TSADM5), and achieving higher accuracy (MLADM).• Numerical examples confirm th

 Removal of direct blue dye by electrocoagulation method has been investigated using aluminum   electrode in a bench-scale electrochemical system. Current density, NaCl concentration,   electrocoagulation time, and dye concentration has been studied as effecting parameters in color   removal efficiency. Increasing of current density will increase the color removal efficiency and   energy consumption as well. While increasing NaCl concentration increase the color removal   efficiency but it decrease energy consumption. High dye concentration is needed for extra   electrocaogolation time to reach the same efficiency that obtained with low dye concentration .With   current applied 0.35 amps. and NaCl concentration of 2 g/l more

This paper is concerned with introducing and studying the o-space by using out degree system (resp. i-space by using in degree system) which are the core concept in this paper. In addition, the m-lower approximations, the m-upper approximations and ospace and i-space. Furthermore, we introduce near supraopen (near supraclosed) d. g.'s. Finally, the supra-lower approximation, supraupper approximation, supra-accuracy are defined and some of its properties are investigated.

The inner wasteland can be observed in Samuel Beckett’s early and later plays. His characters suffer from loss of identity, emotions, and sense of time. They lead a life of failure, repetition, inaction, loneliness, doubt, suffering, and nothingness. The inner wasteland includes many aspects, such as the multi and split identity, the habitual repetitive element of life, the dark sorrowful life the characters lead, lack of communication and relations among them, their unfree, inactive condition, their foggy terrible recollections, loneliness, dryness of love, and uncertainty. The analysis and the illustration of each aspect will show how the inner wasteland is intensified in the selected later plays of Beckett.

The importance of this research came through the question: Are there a privacy in the design in the ceramic arts, what are they? What are the basis of design for the ceramic art sculptures?The study refers to the design privacy in the contemporary ceramic arts, not as a serviceable art, but the art of being a dialectic collecting the arts across the craft and compositionThis research is the first study to look at the privacy of design and the connection with the formation of the large sizes ceramic art sculptures, and what they have as privacy of design and the way of formations.To highlight on the most prominent technical problems facing the ceramist in the production of so sculptural worksThe need for the study comes to help the worker

The aim of present study was to investigate the effect of Pregabalin on hormonal profile of pituitary and ovarian hormones in female albino rats. Three groups of healthy adult female albino rats having fifteen rats in each group were selected for present study. The rats of groups G2 and G3 were administered with Pregabalin with two doses 150 mg and 300mg/kg b.wt/day respectively by orally route daily for 1month, 2 months, and 3 months. Animals of group G1 (Control) were given saline alone. After the experimental periods, the rats were sacrificed, and the study of hormonal profile was carried out by collecting blood samples from the heart puncture method, centrifuged sera and analyzing concentrations of estrogen, progesterone and gonadotropi