Comparison of fuzzy Adomian decomposition method with fuzzy VIM for solving fuzzy heat-like and wave-like equations with variable coefficients
Mawia Osman, Zengtai Gong, Altyeb Mohammed Mustafa
Abstract
Abstract In this work, we investigate the fuzzy Adomian decomposition method (ADM) and fuzzy variational iteration method (VIM) applied to solving fuzzy heat-like and wave-like equations with variable coefficients, in the sense of gH-differentiability. The methods clearly are very efficient and powerful techniques in finding the solutions to the proposed equations. We also illustrate them by some examples. The results reveal that the methods are very effective, convenient, and accurate mathematical tools for solving fuzzy heat-like and wave-like equations with variable coefficients.
Topics & Concepts
Adomian decomposition methodMathematicsFuzzy logicApplied mathematicsVariable (mathematics)Partial differential equationDecomposition method (queueing theory)Mathematical analysisMathematical optimizationComputer scienceArtificial intelligenceDiscrete mathematicsFuzzy Systems and OptimizationFractional Differential Equations SolutionsOptimization and Mathematical Programming