Convergence, Consistency and Stability in Fuzzy Differential Equations

در اين مقاله معادله ديفرانسيل فازي مرتبه اول با شرط اوليه را در نظر مي گيريم. همگرايي، سازگاري و پايداري روش تفاضلي براي تقريب جواب معادله ديفرانسيل با در نظر گرفتن مشتق پذيري هاكوآرا مورد مطالعه قرار مي گيرد. سپس خطاي برشي موضعي تعريف و شرايط لازم براي همگرايي، سازگاري و پايداري روش تفاضلي مورد بحث قرار گرفته و معادله ديفرانسيل سخت و يك مثال عددي براي نشان دادن كارايي و دقت روش ارايه مي شود.

In this paper, we consider First-order fuzzy differential equations with initial value conditions. The convergence, consistency and stability of difference method for approximating the solution of fuzzy differential equations involving generalized H-differentiability, are studied. Then the local truncation error is defined and sufficient conditions for convergence, consistency and stability of difference method are provided and fuzzy stiff differential equation and one example are presented to illustrate the accuracy and capability of our proposed concepts.