A WEB-BASED TOOL FOR GENERATING BLOCK LINEAR MULTISTEP METHODS
DOI:
https://doi.org/10.60787/jnamp.vol70no.566Keywords:
Linear Multistep Methods, Ordinary Differential Equations, Interpolation, Collocation, Web-Based Tool, Numerical MethodsAbstract
Linear Multistep Methods are widely used to obtain numerical solutions of ordinary differential equations. However, generating these methods manually can be computationally challenging, time-consuming, and prone to errors. Existing mathematical software’s lacks the flexibility to efficiently automate the derivation of Linear Multistep Methods. This paper introduces a web-based tool designed to address these limitations by automating the generation of LMMs of first and second derivative methods using interpolation and collocation techniques. The tool enhances computational efficiency, saves time, and simplifies the process of solving ODEs. The backend of the tool is developed in Python using the FASTAPI framework. The frontend, built with React, provides a dynamic and responsive interface for user interaction. This architecture’s integration of Python and React highlights the advantages of combining a powerful computational backend with an intuitive frontend. The effectiveness of the tool is demonstrated by successfully generating well-known Linear Multistep Methods.
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