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| Solution of Numerical Integration using Fractal Interpolating Functions |
Ali Hassan AL-Muhanna and Adil AL-Rammahi
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Abstract:
The main aim of this paper is to study a numerical integration via spline fractal interpolation functions. This thesis studies the solution of numerical integration of continuous function . In which a modified method is introduced for solving numerical integration via the composition of spline interpolation function and fractal interpolation function. To test the modified method, a comparison of this method with the famous update methods has been implemented. The error of modified method is the least than the other Newton - cotes methods represented as trapezoidal, Simpson and Bool. Gaussian quadrature and Bool are the nearest of least error with each of quadrature fractal spline and cubic fractal spline. Many examples were implemented via MATLAB
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