A Numerical Algorithm for Solving Impulsive Fuzzy Initial Value Problem Based on Fuzzy Methods
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
1 - Department of Mathematics, Science and Research Branch,
Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Imam Khomeini International University, Qazvin, Iran.
کلید واژه: Multline, Fuzzy Modified Euler's method, Generated of Hukuhara difference, Impulsive fuzzy differential equation,
چکیده مقاله :
In this paper, first the Newton’s divided difference interpolation method based on the gH difference on fuzzy data is introduced. Then the numerical methods entitled fuzzy Euler and modified fuzzy Euler are used to solve fuzzy impulsive initial value problem. Moreover the algorithms for the fuzzy impulsive initial value problem are explained and their local truncation errors are obtained in details. Finally, for more illustration some numerical examples are solved.
در این مقاله، ابتدا روش درون‌یابی تفضلات تقسیم شده‌ی نیوتن بر اساس تفاضلات تقسیم‌شده‌ی هاکوهارا، برای داده‌های فازی معرفی می‌شود. سپس روش‌های عددی اویلر فازی و اویلر بهبود‌یافته فازی برای حل مسئله مقدار اولیه ضربه فازی به کار می‌روند. به‌علاوه، الگوریتم برای حل مسئله مقدار اولیه ضربه فازی توضیح داده می‌شود و خطای قطع شده‌ی موضعی آن‌ها با جزئیات محاسبه می‌شود. در نهایت، برای نشان دادن کارآمدی روش چند مثال عددی حل می‌شود.
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