Atangana, AbdonAraz, Seda Igret2024-12-242024-12-2420201110-01682090-2670https://doi.org/10.1016/j.aej.2020.02.031https://hdl.handle.net/20.500.12604/6295In 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 effi-cient 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. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).eninfo:eu-repo/semantics/openAccessHeat equationNew numerical schemeFractional calculusFractal calculusArticle59423552370Q1WOS:000563768600010Q12-s2.0-8508212029310.1016/j.aej.2020.02.031