Open Access Journal

International Science and Technology Journal

ISSN: 2519-9854 (Online)

ISSN: 2519-9846 (Print)

DOI: www.doi.org/10.62341/ISTJ

A peer-reviewed and open access journal concerned with publishing researches and studies in the field of applied sciences and engineering

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Using Modified Bessel’s Function to solve Heat Equation

Researcher(s):
  • Amera M. Shaiab
  • Kareem Mustafi Shuayb
Institution:Faculty of Education,University of Zawia
Faculty of Petroleum Engineering, University of Zawia
Field:العلوم العامة: الرياضيات و الاحصاء و الفيزياء
Published in:22nd volume - July 2020
الملخص
في هذا العمل قمنا بإيجاد الحل لمعادلة الحرارة باستخدام دالة بيسل المعدلة و معامل لابلاس و قد تم الحصول على نتائج لهذه المعادلة باستخدام برنامج ماتلاب, ووجدنا انه عند تغيير M حيت M=√(2h⁄tk) تتغير النتائج المتحصل عليها .
Abstract
In this work, a heat equation was solved by Applying boundary condition without time dependence by using a Laplace operator and Modified Bessel's function. considering a problem of heat equation and the solution of this problem implement in computer programming. From the results we noted that, the solutions of heat equation with initial conditions according to the results obtained that dependent on M.