Numerical Analysis on Matlab

Numerical analysis is the study of algorithms that use numerical approximation for the problems of mathematical analysis. The numerical analysis finds application in all fields of engineering and the physical sciences.

MATLABĀ® is widely used for applied numerical analysis in engineering, computational finance, and computational biology. It provides a range of numerical methods for:

  • Interpolation, extrapolation, and regression
  • Differentiation and integration
  • Linear systems of equations
  • Eigenvalues and singular values
  • Ordinary differential equations (ODEs)
  • Partial differential equations (PDEs)

Project Overview

Different discrete schemes are available to study initial and boundary value problems for the diffusion wave equation, which has a Caputo fractional derivative in time.

AlgorithmMinds programmed a script on MATLAB to numerically analyze a diffusion wave equation, on a finite-difference discrete scheme, developed for discrete fractional derivative at time Tn.

Numerical Analysis
Numerical methods on Matlab

Innovative Algorithms for Derivation Visualization

We programmed scripts through a symbolic toolbox. This script allowed the end-user to see the complex derivation symbolically at each stage of algorithm execution.