|
|
|
|
Solving Initial Value Problems with Mendeleev’s Quadrature
|
|
|
|
|
|
|
|
نویسنده
|
suryani ilis ,imran m. ,zulkarnain . ,gamal m. d. h.
|
|
منبع
|
journal of mathematical extension - 2017 - دوره : 11 - شماره : 1 - صفحه:75 -84
|
|
چکیده
|
This article presents the mendeleev method to solve the initial value problems. the construction of this method using mendeleev’s quadrature is due to pleshakov [comp. math. and math. phys., 52(2012), 211-212.] to approximate the integral xi+1 xi f(s, y (s))ds. we derive the local truncation error and show the stability region of the proposed method. the computational comparisons show that mendeleev’s method is better than euler’s method, midpoint method and heun’s method
|
|
کلیدواژه
|
Initial value problems ,Mendeleev’s quadrature ,Euler’s method ,midpoint method ,Heun’s method ,stability region
|
|
آدرس
|
universitas riau-fmipa, department of mathematics, Indonesia, universitas riau-fmipa, department of mathematics, Indonesia, universitas riau-fmipa, department of mathematics, Indonesia, universitas riau-fmipa, department of mathematics, Indonesia
|
|
پست الکترونیکی
|
mdhgamal@unri.ac.id
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|