Runge–Kutta method for solving fuzzy differential equations under generalized differentiability

Journal Article · Tue May 15 00:00:00 EDT 2018 · Computational and Applied Mathematics

DOI:https://doi.org/10.1007/S40314-016-0397-6· OSTI ID:22769349

Kanagarajan, K., E-mail: [e-mail] ^[1]; Suresh, R., E-mail: [e-mail] ^[2]

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1. Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Department of Mathematics (India)
2. Sri Venkateswara College of Engineering (Autonomous), Department of Applied Mathematics (India)

In this paper, we interpret a fuzzy differential equation by using the strongly generalized differentiability concept. Utilizing the Generalized Characterization Theorem, we investigate the problem of finding a numerical approximation of solutions. The Runge–Kutta approximation method is implemented and its error analysis, which guarantees pointwise convergence, is given. The method applicability is illustrated by solving a linear first-order fuzzy differential equation.

• OSTI ID: 22769349
• Journal Information: Computational and Applied Mathematics, Vol. 37, Issue 2; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); ISSN 0101-8205
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
APPROXIMATIONS
CONVERGENCE
DIFFERENTIAL EQUATIONS
ERRORS
FUZZY LOGIC
MATHEMATICAL SOLUTIONS