What question did this study set out to answer?

The aim is to develop an algorithm for efficient numerical partial differentiation of various function types.

February 6, 20260 citationsOpen Access

Automating numerical partial differentiation

HSHenry SamambgwaChinhoyi University of Technology TMThomas MusoraChinhoyi University of Technology

Key Points

The aim is to develop an algorithm for efficient numerical partial differentiation of various function types.
Developed a central difference numerical estimation scheme for partial differentiation.
Created a flowchart to outline the algorithm's structure.
Implemented the algorithm in MATLAB for execution on different functions.
Achieved high accuracy in numerical differentiation with minimal error.
Validated the program with polynomial, trigonometric, and exponential functions.

Abstract

This study develops an algorithm and MATLAB implementation for executing numerical partial differential operations of arbitrary order. The central difference numerical estimation scheme is adapted for repetitive numerical partial differentiation. A flowchart and MATLAB code are developed to programmatically execute numerical partial differential operations. The implementation is tested for three types of functions, a polynomial, trigonometric and exponential functions. In validation, the program demonstrated high accuracy with minimal error. The program improves analytic capabilities of researchers in dealing with large data sets to produce accurate results in limited time.

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