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Shahasavari, Zahra; Allahviranloo, Tofigh; Abbasbandy, Saeid; Rostamy-Malkhalifeh, Mohsen

The traveling wave solution of the fuzzy linear partial differential equation. (English) Zbl 1439.35552

Appl. Appl. Math. 15, No. 1, 408-429 (2020).
Summary: In this paper we are going to obtain fuzzy traveling wave solutions for fuzzy linear partial differential equations by considering the type of generalized Hukuhara differentiability. In particular, the fuzzy traveling wave solutions for fuzzy Advection equation, fuzzy linear Diffusion equation, fuzzy Convection-Diffusion-Reaction equation, and fuzzy Klein-Gordon equation are obtained.

Cited in 1 Document

MSC:

35R13 Fuzzy partial differential equations
35F10 Initial value problems for linear first-order PDEs

Keywords:

fuzzy traveling wave solution; generalized Hukuhara partial differentiability; the fuzzy linear convection-diffusion-reaction; the fuzzy linear Klein-Gordon equation

Software:

Matlab; Maple
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Full Text: Link

References:

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