METODE ANALITIK UNTUK MENYELESAIKAN PERSAMAAN INTEGRAL LINEAR VOLTERRA JENIS KEDUA; ( ANALYTICAL METHOD FOR SOLVING VOLTERRA LINEAR INTEGRAL EQUATIONS OF THE SECOND KIND )

PRILIAWATI, EMA, Sumardi

2016 | Skripsi | FMIPA

This thesis aims to determine Completion of linear Volterra integral equations of the second kind. Volterra linear integral equations of the second kind has the form u(x) = f(x) + Z x 0 K(x; t)u(t)dt; with f(x) is a known function, u(x) is a function not known to be searched, and K(x; t) is a function of the kernel of the integral equation. The method are used to solve linear Volterra integral equations of the second kind in this thesis are Adomian decomposition method, the modified decompotition method, the method of successive approximations, series solution method, and the method of Laplace Transform. The fifth method can easily complete the integral equation. Adomian decomposition method, the modified decompotition method, successive approximations method, and the series solution method using the series concept and iterative process to determine the solution, while the Laplace Transform method uses the concept of convolution to determine the solution.

Kata Kunci : N