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BENTUK EKSPLISIT RUMUS BEDA MAJU DAN BEDA MUNDUR UNTUK TURUNAN KE-N DENGAN ORDE KETELITIAN KE-N BERDASARKAN DERET TAYLOR Ikhsan Fachriansyah Putra; Mahdhivan Syafwan; Monika Rianti Helmi; Admi Nazra
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 4 No. 3 (2023): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v4i3.461

Abstract

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