Numerical analysis Math Problem Example | Topics and Well Written Essays - 1500 words

Numerical analysis - maths Problem ExampleThis method of numeric integration keeps solutions in the form of resultant solutions.The equation given over in the task was work by Mathcad program using program module which allows to solve differential equations with fixed step F = rkfixed(Z0, t0, tk, N, f). The result of the solution of this equation in mathcad is the followingIn say to evaluate these results we can solve the same equation using conventional means. As its shown this equation is solved by the method of variables separation. After finding the function we should plug the set of t into this function and find its values for all values of t on the interval 0,1. As we can see the results of numerical solution of Runge Kutta method are very close to the real results of this function.Using error evaluation methodAbsolute value (real value of function- approximated value)/ real value of function) we will get the following resultsReal values00.10.20.30.40.50.60.70.80.9111.0 050131.0202011.0460281.0832871.1331481.1972171.2776211.3771281.4993031.648721Errors01.25E-050.0001972.66E-050.0002650.0001310.0001820.00039.28E-050.0002020.00017As we can see the results are very accepted as error is less than 0.001% for all values