Document Details

Document Type : Thesis 
Document Title :
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 : Faculty of Science 
Document Language : Arabic 
Abstract : 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 : Dr. Nour al-Din Mahdhabi 
Thesis Type : Master Thesis 
Publishing Year : 1445 AH
2023 AD 
Added Date : Tuesday, November 28, 2023 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
حمد خالد الحربيAlharbi, Hamad KhaledResearcherMaster 

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