Extension of Atangana-Seda numerical method to partial differential equations with integer and non-integer order
Abdon Atangana, Seda İğret Araz
Abstract
In this study, we extend newly introduced numerical method to partial differential and integral equations with integer and non-integer order. This numerical approximation suggested by Atangana and Seda was constructed with Newton polynomial. Moreover it is accurate and efficient for solving partial differential and integral equations. Also, we present numerical simulation for solution of the considered equation. The numerical results show that this numerical approach is useful and accurate for obtaining numerical solution of such equations.
Topics & Concepts
MathematicsInteger (computer science)Numerical analysisPartial differential equationExtension (predicate logic)Order of accuracyDifferential equationPolynomialApplied mathematicsMathematical analysisNumerical partial differential equationsComputer scienceProgramming languageFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical functions and polynomials