The THEORY OF FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS

dc.contributor.authorOSMAN ALI OSMAN MOHMAMED
dc.date.accessioned2018-07-18T07:04:17Z
dc.date.available2018-07-18T07:04:17Z
dc.date.issued2017
dc.descriptionThesis Presented as a Partial Fulfillment for MASTER OF SCIENCE IN MATHEMATICS in the Department of Mathematicsen_US
dc.description.abstractالخلاصة المعادلات التفاضلية الجزئية مهمة جداً في نمذجة الظواهر الفيزيائية وتصف الإختلافات التي تكون في سلسلة وتعبر عنها الدالة التفاضلية ومشتقاتها الجزئية. من الدرجة الأولى وتصنيفها وتفردها. وقمنا بمعالجة مسائل كوشي للمعادلات الزائدية وحل بعض المسائل وثم طبقنا على المعادلات التي تتعلق بمعادلات الموجة. وقمنا بتنفيذ الحل العددي للمعادلات التفاضلية من الدرجة الأولى. Abstract Partial differential equation are very important in modeling physical phenomena. They describe variation, which are smooth and expressed by differentiable functions and their partial derivatives. In this work we considered first order partial differential equations, their classifications and the uniqueness and existence problems. In particular, we have treated Cauchy problems for hyperbolic equation and solved some of their problems. This has been also applied to wave propagation in addition to this numerical solution of first order differential equations have been investigated for the characteristics formulation.en_US
dc.description.sponsorshipMohammed ALi BASHEIRen_US
dc.identifier.urihttp://hdl.handle.net/123456789/12239
dc.language.isoenen_US
dc.publisherNeelain Universityen_US
dc.subjectDIFFERENTIAL EQUATIONSen_US
dc.titleThe THEORY OF FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONSen_US
dc.typeThesisen_US

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