Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method
Noor Jamal, Muhammad Sarwar, Parveen Agarwal, Nabil Mlaiki, Ahmad Aloqaily
Abstract
In this article, we present an algorithm for computing analytical solutions of linear fuzzy advection-diffusion equations and one-dimensional fuzzy heat equations involving an external source. The fuzzy problems can be solved by using the natural transform and Adomian decomposition method. The results obtained through the natural Adomian decomposition method are calculated in a series form that converges rapidly to the exact solution. To enhance the practicality of our work, we provide examples to illustrate our findings.
Topics & Concepts
Adomian decomposition methodAdvectionDiffusionDecompositionFuzzy logicMathematicsComputer scienceApplied mathematicsMechanicsThermodynamicsMathematical analysisPartial differential equationPhysicsArtificial intelligenceBiologyEcologyFuzzy Systems and OptimizationFractional Differential Equations SolutionsNonlinear Differential Equations Analysis