APPLICATION OF NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS

Authors

  • Temirova Sitora Master’s Student At National University Of Uzbekistan

Keywords:

Differential equations, numerical methods, euler's method

Abstract

Differential equations serve as fundamental tools in describing dynamic systems across various scientific, engineering, and real-world scenarios. However, the complexity of many of these equations often renders analytical solutions elusive. Enter numerical methods – a cornerstone in solving these equations, bridging the gap between theory and practical application. This article delves into the pivotal role of numerical methods in addressing differential equations without closed-form solutions. By breaking down continuous problems into discrete computations, these methods offer a pathway to approximate solutions for a wide array of differential equations encountered in diverse fields.

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References

"Numerical Methods for Ordinary Differential Equations" by J. C. Butcher.

"Numerical Solution of Differential Equations: Introduction to Finite Difference and Finite Element Methods" by K. W. Morton and D. F. Mayers.

"Numerical Solution of Partial Differential Equations: Finite Difference Methods" by G. D. Smith.

"Numerical Methods for Engineers" by S. Chapra and R. Canale.

Hairer, E., Nørsett, S. P., & Wanner, G. (1993). Solving Ordinary Differential Equations I: Nonstiff Problems. Springer-Verlag Berlin Heidelberg.

Shampine, L. F., Reichelt, M. W., & Kierzenka, J. A. (1999). Solving Index-1 DAEs in MATLAB and Simulink. Society for Industrial and Applied Mathematics.

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Published

2023-11-05

How to Cite

Temirova Sitora. (2023). APPLICATION OF NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS. International Scientific and Current Research Conferences, 1(01), 131–133. Retrieved from https://www.orientalpublication.com/index.php/iscrc/article/view/1290