Solving Riccati differential equation using Adomian's decomposition method

A new stochastic approach for solution of Riccati differential equation of fractional order

“…3. The traditional Table 1 Best weights trained for neural network modeling by PSO-SA algorithm for example I approximate analytic numerical solvers give good approximation only in the neighborhood of the initial position [36,37,39,40]. It can be seen from Fig.…”

An Effective Perturbation Iteration Algorithm for Solving Riccati Differential Equations

“…For most cases, one must make use of numerical techniques or approximate approaches for the obtainment of solutions. This is why the problem has attracted quite a bit of attention in the recent past and has been the topic of study of many authors [4,5,6] [4,9]. The Taylor, Chebyshev and Legendre (matrix and collocation) methods have been employed by Sezer et al [10], and Akyuz [11] to solve the famous Riccati equations.…”

An efficient approach based on radial basis functions for solving stochastic fractional differential equations

“…Mathematicians and physicists have been created numerous articles about fractional differential equations(FDEs) for finding analytical and numerical methods, including Adomian Decomposition Method [5], Variational Iteration Method [6,7], Homotopy perturbation Method [8] and homotopy analysis method [9]. H. Rezazadeh et al have generalized the Floquet system to the fractional Floquet system in 2016 [10].…”