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Fractional Calculus| Forward Approximation|L1-2 method for CF| MATLAB code |Lecture 15 Part 3 of 5
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This lecture belongs to the field of Fractional Calculus. In this video, I have derived an important algorithm used in the field of fractional calculus known as the L1-2 method (forward approximation) to approximate the Caputo Fabrizio derivative of a function via the Quadratic Lagrange Interpolation Technique.
The following research paper has been discussed:
Akman, T., Yıldız, B., & Baleanu, D. (2018). New discretization of Caputo–Fabrizio derivative. Computational and Applied Mathematics, 37(3), 3307-3333.
The viewers will come to know:
1. What is Caputo Fabrizio derivative operator?
2. The derivation of the L1-2 method to approximate the Caputo Fabrizio derivative operator via the Quadratic Lagrange Interpolation Technique.
3. MATLAB code of the L1-2 method to find Caputo Fabrizio derivative operator of a trigonometric function.
4. To analyze the absolute errors for the L1 method.
5. To carry out a comparative analysis with respect to the absolute errors.
6. To understand the cubic rate of convergence of the L1-2 method
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This lecture belongs to the field of Fractional Calculus. In this video, I have derived an important algorithm used in the field of fractional calculus known as the L1-2 method (forward approximation) to approximate the Caputo Fabrizio derivative of a function via the Quadratic Lagrange Interpolation Technique.
The following research paper has been discussed:
Akman, T., Yıldız, B., & Baleanu, D. (2018). New discretization of Caputo–Fabrizio derivative. Computational and Applied Mathematics, 37(3), 3307-3333.
The viewers will come to know:
1. What is Caputo Fabrizio derivative operator?
2. The derivation of the L1-2 method to approximate the Caputo Fabrizio derivative operator via the Quadratic Lagrange Interpolation Technique.
3. MATLAB code of the L1-2 method to find Caputo Fabrizio derivative operator of a trigonometric function.
4. To analyze the absolute errors for the L1 method.
5. To carry out a comparative analysis with respect to the absolute errors.
6. To understand the cubic rate of convergence of the L1-2 method
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