دراسة عددية لحلّ نموذج من مسائل القيم الابتدائية المركبة الضبابية الضعيفة المتجانسة الخطية ذات الأمثال الثابتة من المرتبة الثانية عددياً

Abstract

This work aims to solve for the first time the second-order Weak Fuzzy Complex- Initial Value Problem (WFC-IVP) numerically. Using a special isomorphic transformation function, a second-order WFC-IVP can be written as two classical second-order initial Value Problems (IVPs) with respect to their own real variables. Where each second-order IVP can be expressed as an initial value problem for a system of first-order differential equations, and we use Euler’s method to find approximate solutions. Then, we construct the numerical solutions for our problem (WFC-IVP) from the approximate solutions of related classical systems. We focus on a model of the second-order real constant-coefficient linear homogeneous differential equation with real initial conditions and fixed step. Therefore, we use Python to obtain numerical results for related example, where approximations and absolute errors are shown in tables and diagrams.