Atangana, AbdonAraz, Seda Igret2020-03-162020-03-162020Atangana, A., & Araz, S. İ. (2020). New numerical method for ordinary differential equations: Newton polynomial. Journal of Computational and Applied Mathematics, 372, 112622.https://hdl.handle.net/20.500.12604/2675An error estimate of optimal order is established for the correspondingnumerical solutions in a scaled residual norm. In addition, a mathematical convergenceis established in a weak L2topology for the new numerical method. Numerical resultsare reported to demonstrate the efficiency of the primal–dual weak Galerkin method aswell as the accuracy of the numerical approximationseninfo:eu-repo/semantics/embargoedAccessPrimal–duaWeak GalerkinFinite element methodsElliptic Cauchy problemWeak gradientPolygonal or polyhedral meshesArticle37111810.1016/j.cam.2019.112668