Approximate Solution of nth-Order Fuzzy Linear Differential Equations

Abstract EN

The approximate solution of nth-order fuzzy linear differential equations in which coefficient functions maintain the sign is investigated by the undetermined fuzzy coefficients method.

The differential equations is converted to a crisp function system of linear equations according to the operations of fuzzy numbers.

The fuzzy approximate solution of the fuzzy linear differential equation is obtained by solving the crisp linear equations.

Some numerical examples are given to illustrate the proposed method.

It is an extension of Allahviranloo's results.