(593) 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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| Format: | Book |
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INP
2024
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| Online Access: | http://repository.inp.edu.eg//handle/123456789/5839 |
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| Summary: | 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." |
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