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dc.contributor.authorHassan, Ahmad
dc.contributor.authorFouad, Afaf
dc.contributor.authorEl Gindi, Salah
dc.date.accessioned2024-12-17T08:19:41Z
dc.date.available2024-12-17T08:19:41Z
dc.date.issued1965-05-05
dc.identifier.urihttp://repository.inp.edu.eg//handle/123456789/5606
dc.description.abstractSeveral methods have been proposed for solving ordinary differential equations which take advantage of the special properties of Chebyshev polynomials. For the sake of completeness, we are going to mention here some of the methods which use these polynomials for solving differential equations. For the properties of Chebyshev polynomials we refer to (Memo. no. ).en_US
dc.description.abstractThis work explores the matrix method as an efficient approach to solving linear differential equations. Key topics include: Overview of the problem and the significance of the matrix method. The Matrix Method: Theoretical foundation of the method. Computational Procedure: Detailed steps for solving using matrices. Flow Chart: Step-by-step process for solving the equation y′+P(x)y=r(x)y' + P(x)y = r(x). Example: A practical example illustrating the method. Fortran Program: Implementation of the method using a Fortran program. Appendix: Additional details or clarifications on computations.
dc.description.abstractيتناول هذا العمل استخدام طريقة المصفوفة كنهج فعال لحل المعادلات التفاضلية الخطية. تشمل الموضوعات الرئيسية: تعريف بالمشكلة وأهمية استخدام طريقة المصفوفة. طريقة المصفوفة: شرح الأساس النظري للطريقة. الإجراءات الحسابية: خطوات الحل التفصيلية باستخدام المصفوفات. مخطط التدفق: عرض الإجراء خطوة بخطوة لحل المعادلة y′+P(x)y=r(x)y' + P(x)y = r(x).. مثال تطبيقي: توضيح عملي لاستخدام الطريقة. برنامج فورتران: تطبيق الطريقة باستخدام برنامج مكتوب بلغة فورتران. الملحق: يحتوي على تفاصيل إضافية حول الحسابات أو التوضيحات.
dc.publisherمعهد التخطيط القومىen_US
dc.relation.ispartofseriesMemo 565;28 p
dc.subjectmatrix methoden_US
dc.subjectcomputational procedureen_US
dc.subjectFORTRAN programen_US
dc.titleOn The Matrix Method For Solving Linear-differential Equs/حول طريقة المصفوفة لحل المعادلات التفاضلية الخطيةen_US
dc.typeBooken_US


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