International Science and Technology Journal
Published by
Under supervision of
Open Access Journal
ISSN: 2519-9854 (Online)
ISSN: 2519-9846 (Print)
A peer-reviewed and open access journal concerned with publishing researches and studies in the field of applied sciences and engineering
The Solution of the Heat Equation by Adomian Decomposition Method
| Researcher(s): | |
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| Institution: | Department of Mathematics, Tripoli University, Tripoli, Libya |
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| Field: | العلوم العامة: الرياضيات و الاحصاء و الفيزياء |
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| Published in: | 27th volume - October 2021 |
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الملخص
استخدمت طريقة تحليل أدومين لحل مسألة القيم الابتدائية الحدية لمعادلات الحرارة المتجانسة وغير المتجانسة وذلك بدمج الشروط الابتدائية والحدية معاً في شرط واحد يتم استخدامه في العلاقة التكرارية للطريقة لإيجاد الحل .
Abstract
In this paper, the Adomian Decomposition Method (ADM) is applying to heat equations subjected to a new technique treatment of initial boundary value problems by mixed initial and boundary conditions together to obtain a new initial solution at every iteration. This is achieved by handling homogeneous and non-homogeneous boundary value problem for one-dimensional heat equation. The structure of new successive initial solutions can be give a more accurate solution.