Document Details
Document Type |
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Thesis |
Document Title |
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CLASSES OF NONLINEAR FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS AND NONLINEAR SECOND ORDER REDUCIBLE TO FIRST ORDER حل فئة من المعادلات التفاضلية الجزئية غير الخطية ذات الرتبة الأولى وتحويل فئة من المعادلات التفاضلية الجزئية غير الخطية ذات الرتبة الثانية إلى الرتبة الأولى |
Subject |
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Faculty of Science |
Document Language |
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Arabic |
Abstract |
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In this work, we present new techniques for solving a large variety of partial differential equations. The proposed method reduces the PDEs to first order differential equations known as classical equations such as Bernoulli, Ricatti and Abel equations. The main idea is based on implementing new techniques by combining variations of parameters with characteristic methods to obtain many new and general exact solutions. In each class of PDE’s, we give illustrated examples. Moreover, the method presented in this work can be easily extended to classes of second order nonlinear PDEs.
Keywords:
partial differential equations, non-linear partial differential equations, variation of parameters, method of characteristics, first order partial differential equations, second order partial differential equations, Bernoulli equations, Ricatti equation, Abel equations |
Supervisor |
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Dr. Nour al-Din Mahdhabi |
Thesis Type |
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Master Thesis |
Publishing Year |
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1445 AH
2023 AD |
Added Date |
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Tuesday, November 28, 2023 |
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Researchers
حمد خالد الحربي | Alharbi, Hamad Khaled | Researcher | Master | |
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