A New Approach Using Integral Transform to Solve Cancer Models
Rania Saadeh, Ahmad Qazza, Kawther Faisal Amawi
Abstract
The objective of this work is to investigate analytical solutions of some models of cancer tumors using the Laplace residual power series method (LRPSM). The proposed method was effective and required simple calculations to find the analytic series solution, utilizing computer software such as the Mathematica package. Figures and graphs of the attained analytical Maclaurin solutions are presented to depict the procedure. The outcomes we obtained in this research showed the applicability and strength of the proposed approach in studying numerical series solutions of differential equations of fractional orders.
Topics & Concepts
Laplace transformSeries (stratigraphy)Power seriesApplied mathematicsSimple (philosophy)Computer scienceResidualSoftware packageWork (physics)SoftwareMathematicsCalculus (dental)AlgorithmMathematical optimizationMathematical analysisDentistryProgramming languageEpistemologyMedicineBiologyPhilosophyMechanical engineeringEngineeringPaleontologyFractional Differential Equations SolutionsIterative Methods for Nonlinear Equations