Fuzzy Double Laplace Transform Method solution for one dimensional wave equation

Abstract

This study focused on solving Fuzzy wave equation by using Fuzzy Double Laplace Transform method. Fuzzy wave equations focused a major role in various areas of sciences such as mathe matics, physics, statistics, engineering and social sciences. These are important for studying and solve a large proportion of the problems in many topics in applied mathematics. Usually in many applications all the system’s parameters are represented by fuzzy rather than crisp numbers, and hence it is important to develop mathematical models and analytical procedures that would appro priately treat general fuzzy Laplace Transform Method (FLTM) and solve them. The fuzzy laplace transform techniques for resolving fuzzy wave equations are examined in this work. These analyt ical techniques have been described and solved. By resolving several problem of effective of fuzzy wave equation was solved non-linearity FWE of the derivative dominating crisp coefficient non linear from the corresponding FWE equation. Based on the analytical findings, it is clear that the suggested approaches are effective to solve FWE and provide precise answer. Consequently, the researcher deduced that the suggested techniques have great potential more effective to solve potent than alternative Fuzzy Double Laplace Transform approaches in terms of yielding relatively modest errors.