A Decomposition Method for a Fractional-Order Multi-Dimensional Telegraph Equation via the Elzaki Transform
Nehad Ali Shah, Ioannis Dassios, Jae Dong Chung
Abstract
In this article, the Elzaki decomposition method is used to evaluate the solution of fractional-order telegraph equations. The approximate analytical solution is obtained within the Caputo derivative operator. The examples are provided as a solution to illustrate the feasibility of the proposed methodology. The result of the proposed method and the exact solution is shown and analyzed with figures help. The analytical strategy generates the series form solution, with less computational work and a fast convergence rate to the exact solutions. The obtained results have shown a useful and straightforward procedure to analyze the problems in related areas of science and technology.
Topics & Concepts
Decomposition method (queueing theory)Fractional calculusConvergence (economics)Exact solutions in general relativityOperator (biology)Applied mathematicsSeries (stratigraphy)DecompositionTelegrapher's equationsDerivative (finance)MathematicsOrder (exchange)Rate of convergenceAdomian decomposition methodComputer scienceMathematical optimizationPartial differential equationMathematical analysisKey (lock)TelecommunicationsRepressorEcologyBiologyFinanceTranscription factorChemistryFinancial economicsTransmission lineEconomicsPaleontologyBiochemistryEconomic growthComputer securityGeneDiscrete mathematicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsMathematical functions and polynomials