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Yahya Qaid Hasan

Publications (7)

Application of Adomian Decomposition Method to Solving Higher Order Singular Value Problems for Ordinary Differential Equations

Yahya Qaid Hasan & Somaia Ali Alaqel · Asian Journal of Probability and Statistics · 2020

This paper is an attempt to solve singular value problems for higher order ordinary differential equation by using new modification of Adomian Decomposition Method (ADM). Convergent series solution of considered problem have been obtained. Three numerical examples are discussed t...

Open access Research Article 10.9734/ajpas/2020/v9i430232

Solving The Hyperbolic Telegraph Equation Using a Modified Adomian Decomposition Method with an Invertible Partial Differential Operator

Saleem Nasser Alomari & Yahya Qaid Hasan · Asian Research Journal of Mathematics · 2023

In this paper, a modified Adomian decomposition method (MADM) for solving the hyperbolic telegraph equation is proposed. The MADM introduces a new inverse partial differential operator that can speed up the convergence rate of the standard ADM. We also present a technique for con...

Open access Research Article 10.9734/arjom/2023/v19i9719

Solving Ordinary Differential Equation of Higher Order by Adomian Decomposition Method

Sumayah Ghaleb Othman & Yahya Qaid Hasan · Asian Journal of Probability and Statistics · 2020

Aims/ Objectives: In this article, we use Adomian Decomposition method (ADM) for solving initial value problems in the higher order ordinary differential equations. Many researchers have used the ADM in order to find convergent as well as exact solutions of different types of equ...

Open access Research Article 10.9734/ajpas/2020/v9i330229

A New Improved Adomian Decomposition Method for Solving Emden-Fowler Type Equations of Higher-Order

Zainab Ali Abdu AL-Rabahi & Yahya Qaid Hasan · Asian Journal of Probability and Statistics · 2020

In this paper, we present a suggested modification for Adomain decomposition method to solve Emden{Fowler Types Equations of higher-order ordinary differential equations. The proposed method can be applied to linear and non-linear problems. By using some illustrative examples, we...

Open access Research Article 10.9734/ajpas/2020/v9i230222

An Effcient Method to Find Approximate Solutions for Emden-Fowler Equations of nth Order

Nuha Mohammed Dabwan & Yahya Qaid Hasan · Asian Journal of Probability and Statistics · 2020

In this research, Emden-Fowler equations of higher order with boundary conditions are considered and solved using Modied Adomian Decomposition Method (MADM). We dened a new differential operator under two conditions: rst condition when m ≤ 0 and second condition when m ≥ 0. From...

Open access Research Article 10.9734/ajpas/2020/v8i130195

A Novel Modification of Adomian Decomposition Method for Singular BVPs of Emden-Fowler Type

Somaia Ali Alaqel & Yahya Qaid Hasan · Journal of Advances in Mathematics and Computer Science · 2020

In this paper, we apply a novel Modied of Adomian Decomposition Method (MADM) for solving Singular Boundary Value Problems (BVPs) of Emden-Fowler type of higher order. The higher-order Emden-Fowler equation is characterized by two types. In addition, we test the presented method...

Open access Research Article 10.9734/jamcs/2020/v35i230251

New Modified Adomin Decomp osition Metho d for Boundary Value Problems of Higher-order Ordinary Differential Equation

Zainab Ali Ab du Al-Rabahi & Yahya Qaid Hasan · Asian Research Journal of Mathematics · 2020

This study will present a new modified differential operator for solving third-order boundary value problems into higher-order ordinary differential equation. We found the differential operator for new three inverse operator which can be applied for solving equations at more than...

Open access Research Article 10.9734/arjom/2020/v16i330178