Euler's method, Modified Euler's method and RK4 methods have been used to obtain approximate solutions of the differential equation dy/dx = x *sqrt(y), with y(2)=4 as the Initial condition. The solutions obtained have been compared against the analytical solution in the first plot. In the second, the errors have been compared. Finally, the time for each algorithm is displayed on the command window.
Praveen Ranganath (2021). Numerical methods vs analytical methods for Differential equations (https://www.mathworks.com/matlabcentral/fileexchange/42908-numerical-methods-vs-analytical-methods-for-differential-equations), MATLAB Central File Exchange. Retrieved .
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