Griya Journal of Mathematics Education and Application
Vol. 6 No. 2 (2026): Juni 2026

Penerapan Metode Kuadratur Gauss-Legendre dalam Estimasi Akumulasi Curah Hujan Harian DAS Bengawan Solo

Linda Agustin WWidyawati Lestari (UIN Raden Mas Said Surakarta)
Mukaromah Mafaza (UIN Raden Mas Said Surakarta)
Ari Wibowo (UIN Raden Mas Said Surakarta)



Article Info

Publish Date
30 Jun 2026

Abstract

This study applies the Gauss-Legendre Quadrature method with order variations n = 2 to n = 6 to calculate discrete daily rainfall accumulation at the Jurug 2 Station of BBWS Bengawan Solo during the period of March 17 - April 15, 2026, which is directly relevant to the major flooding event in Solo Raya on April 14 - 15, 2026. The method adaptation was carried out through interval transformation using the formula xᵢ = 15tᵢ + 16 and linear interpolation to obtain function values at non-integer evaluation points, with all computations implemented using Microsoft Excel. The actual rainfall accumulation value of 353.5 mm was used as the error reference. The calculation results show that the estimates for each order are 293.222 mm (n = 2; error 17.05%), 78.114 mm (n = 3; error 77.90%), 289.299 mm (n = 4; error 18.16%), 252.338 mm (n = 5; error 28.62%), and 414.449 mm (n = 6; error 17.24%). The error convergence pattern is non-monotonic and deviates from theoretical expectations due to the non-smooth characteristics of daily rainfall data with 13 zero-value days. Order n = 2 produces the smallest error, although this advantage is situational. The study concludes that simultaneous cross-order validation is more reliable than applying a single order to support flood early warning systems.

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Journal Info

Abbrev

Griya

Publisher

Subject

Education Mathematics

Description

Griya Journal of Mathematics Education and Application adalah Jurnal Matematika dan Pendidikan Matematika yang dikelola oleh Program Studi S1 Pendidikan Matematika Universitas Mataram. Fokus dan ruang lingkup dari jurnal ini adalah artikel ilmiah baik berupa hasil penelitian, review artikel maupun ...