BENTUK EKSPLISIT RUMUS BEDA MAJU DAN BEDA MUNDUR UNTUK TURUNAN KE-N DENGAN ORDE KETELITIAN KE-N BERDASARKAN DERET TAYLOR

Ikhsan Fachriansyah Putra (Universitas Andalas)
Mahdhivan Syafwan (Universitas Andalas)
Monika Rianti Helmi (Universitas Andalas)
Admi Nazra (Universitas Andalas)

Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika
Vol. 4 No. 3 (2023): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik

In this paper, we aim to derive the explicit forms of forward and backward difference formulas based on the Taylor series. These formulas are employed to approximate the N-th derivative of a single-variable function with N-th order accuracy. The explicit formula is determined by utilizing the properties of the determinant of the Vandermonde matrix. Subsequently, we apply the obtained formulas to an example case involving a first-order ordinary differential equation