A Course In Numerical Treatment of Differential Equations/دورة في المعالجة العددية للمعادلات التفاضلية
key points discussed, including a more detailed look at numerical methods for solving ordinary differential equations (ODEs). The need for numerical methods has been addressed, along with methods such as the Euler-Cauchy method. Numerical errors and methods to improve step-by-step approximations, li...
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| Формат: | Книга |
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INP
2024
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| Онлайн доступ: | http://repository.inp.edu.eg//handle/123456789/5839 |
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| _version_ | 1853147119649554432 |
|---|---|
| author | El-Gendi, Salah |
| author_facet | El-Gendi, Salah |
| author_sort | El-Gendi, Salah |
| collection | DSpace |
| description | key points discussed, including a more detailed look at numerical methods for solving ordinary differential equations (ODEs). The need for numerical methods has been addressed, along with methods such as the Euler-Cauchy method. Numerical errors and methods to improve step-by-step approximations, like Heun's method and the midpoint method, have been discussed. Additionally, Runge-Kutta methods and methods based on Chebyshev polynomials have been covered. Other important concepts, such as systems of first-order differential equations, boundary value problems, difference equations, and the stability of step-by-step methods, have also been addressed." |
| format | Book |
| id | oai:repository.inp.ed.eg:123456789-5839 |
| institution | My University |
| publishDate | 2024 |
| publisher | INP |
| record_format | dspace |
| spelling | oai:repository.inp.ed.eg:123456789-58392025-02-13T11:37:42Z A Course In Numerical Treatment of Differential Equations/دورة في المعالجة العددية للمعادلات التفاضلية El-Gendi, Salah Numerical Treatment Differential Equation key points discussed, including a more detailed look at numerical methods for solving ordinary differential equations (ODEs). The need for numerical methods has been addressed, along with methods such as the Euler-Cauchy method. Numerical errors and methods to improve step-by-step approximations, like Heun's method and the midpoint method, have been discussed. Additionally, Runge-Kutta methods and methods based on Chebyshev polynomials have been covered. Other important concepts, such as systems of first-order differential equations, boundary value problems, difference equations, and the stability of step-by-step methods, have also been addressed." نظرة أكثر تفصيلاً على الطرق العددية لحل المعادلات التفاضلية العادية (ODEs). تم مناقشة الحاجة إلى الطرق العددية، وطرق مثل طريقة أويلر-كوشي، وأخطاء الطرق العددية، وطرق تحسين التقريب خطوة بخطوة مثل طريقة هيون وطريقة نقطة الوسط، وطرق رونج-كوتا، والطرق المستندة إلى كثيرات حدود تشيبيشيف. كما تم تناول المفاهيم المهمة الأخرى مثل أنظمة المعادلات التفاضلية من الدرجة الأولى، والمسائل ذات القيم الحدية، ومعادلات الفرق، واستقرار الطرق خطوة بخطوة. 2024-12-29T13:26:09Z 2024-12-29T13:26:09Z 1965-08 Book http://repository.inp.edu.eg//handle/123456789/5839 سلسلة مذكرات خارجية رقم (593); application/pdf INP |
| spellingShingle | Numerical Treatment Differential Equation El-Gendi, Salah A Course In Numerical Treatment of Differential Equations/دورة في المعالجة العددية للمعادلات التفاضلية |
| title | A Course In Numerical Treatment of Differential Equations/دورة في المعالجة العددية للمعادلات التفاضلية |
| title_full | A Course In Numerical Treatment of Differential Equations/دورة في المعالجة العددية للمعادلات التفاضلية |
| title_fullStr | A Course In Numerical Treatment of Differential Equations/دورة في المعالجة العددية للمعادلات التفاضلية |
| title_full_unstemmed | A Course In Numerical Treatment of Differential Equations/دورة في المعالجة العددية للمعادلات التفاضلية |
| title_short | A Course In Numerical Treatment of Differential Equations/دورة في المعالجة العددية للمعادلات التفاضلية |
| title_sort | course in numerical treatment of differential equations دورة في المعالجة العددية للمعادلات التفاضلية |
| topic | Numerical Treatment Differential Equation |
| url | http://repository.inp.edu.eg//handle/123456789/5839 |
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