Open AccessNumerical Investigation to Fuzzy Volterra Integro-Differential Equations via Residual Power Series Method
Author(s) -
Mohammad Alshammari
Publication year - 2020
Publication title -
asm science journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.12
H-Index - 6
eISSN - 2682-8901
pISSN - 1823-6782
DOI - 10.32802/asmscj.2020.511
Subject(s) - residual , mathematics , power series , series (stratigraphy) , method of mean weighted residuals , taylor series , generality , fuzzy logic , representation (politics) , differentiable function , differential equation , numerical analysis , volterra series , mathematical analysis , nonlinear system , computer science , algorithm , finite element method , engineering , structural engineering , artificial intelligence , law , psychotherapist , biology , psychology , paleontology , quantum mechanics , galerkin method , political science , physics , politics
In this paper, a study of a numerical approximate solution to fuzzy Volterra integro-differential equations is presented under strongly generalised differentiability by applying an influent effective technique, called the Residual Power Series (RPS) method. The solution approach can be expressed on Taylor's series formula in terms of elementary σ-level representation, whereas the coefficients can be computed by utilising its residual functions. Furthermore, a numerical computational example is given to test and validate the proposed method. The results reached show several features concerning the RPS method such as potentiality, generality and superiority to handle many problems arising in physics and engineering.