APPLICATION OF NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS
Keywords:
Differential equations, numerical methods, euler's methodAbstract
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.
Downloads
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.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Temirova Sitora

This work is licensed under a Creative Commons Attribution 4.0 International License.
The content published on the International Scientific and Current Research Conferences platform, including conference papers, abstracts, and presentations, is made available under an open-access model. Users are free to access, share, and distribute this content, provided that proper attribution is given to the original authors and the source.