PENYELESAIAN NUMERIK DARI PERSAMAAN DIFERENSIAL NONLINIER ADVANCE-DELAY
DOI:
https://doi.org/10.25077/jmu.6.1.97-104.2017Abstract
Abstrak. Pada makalah ini akan dijelaskan tentang konstruksi skema numerik dalam
menyelesaikan persamaan diferensial nonlinier advance-delay. Skema numerik menggunakan
beda hingga untuk mengaproksimasi bagian turunan dari persamaan, dan interpolasi
kubik untuk mengaproksimasi bagian advance-delay. Telah dibuktikan pula bahwa
skema numerik tersebut konsisten terhadap persamaan advance-delay.Skema numerik
yang dihasilkan diuji dengan solusi eksak yang telah diketahui. Berdasarkan hasil simulasi
numerik yang dilakukan, dapat disimpulkan bahwa solusi numerik dari persamaan
diferensial nonlinier advance-delay mempunyai kesesuaian yang sangat baik dengan solusi
eksaknya.
Kata Kunci: Dierential equations, initial value problem, heaviside
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