Analyzing Hybrid Fuzzy Differential Equations Under Generalized Differentiability with Distinct Fuzzy Initial Conditions Using Cubic B-Spline Collocation Method

This work uses a novel Cubic B-spline approach to analyse the influence of different fuzzy initial conditions on the solution of the hybrid fuzzy differential equation using the strongly generalized differentiability concept. It explores the solution of this fuzzy differential equation with triangular and trapezoidal fuzzy numbers with triangular-shaped initial conditions and assesses the impact of varying degrees of fuzziness on the solution. A comprehensive discussion regarding the convergence analysis for this technique is provided to demonstrate the present method’s efficacy, behaviour, and applicability. The stability of the process is demonstrated through eigenvalue analysis. Two test problems are analysed, and their experimental results are compared with existing methods using MATLAB software tools to substantiate the proposed algorithm. The accuracy and efficiency of the proposed scheme are evaluated based on the error norm [Formula: see text], computational time, and order of convergence.