A GENERAL APPROACH TO APPROXIMATE SOLUTION OF DIFFERENTIAL EQUATION USING FLOWER POLLINATION ALGORITHM

• Main Author: Fahrul Arifin, Reza
• Format: Theses
• Language: Indonesia
• Subjects: Ilmu alam dan matematika
• Online Access: https://digilib.itb.ac.id/gdl/view/37182
• Institution: Institut Teknologi Bandung

A general approach to approximate solutions of nonlinear ordinary dierential equations and partial dierential equations is proposed in this thesis. The solution of nonlinear ordinary dierential equation is approximated by Fourier series and for the solution of partial dierential equation is approximated by polynomial basis function or the multivariable Fourier series. The basis function of approximation is measured by weighted residual function to see how close the approximation function with the solution of the given dierential equation. The initial and boundary value problem are treated by constructing penalty function to add with the weighted residual function. The dierential equation now becomes optimization problem to nd the value of coecients in the approximation function. The optimization problem is solved with ower pollination algorithm. The ower pollination algorithm is a robust and ecient meta heuristic method to nd the global minimum.