2nd Order Parallel Splitting Methods for Heat Equation | Zendy

Md. Atikul Aziz | Zendy; M. A. Rehman | Zendy

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2nd Order Parallel Splitting Methods for Heat Equation

Author(s) -

Md. Atikul Aziz,

M. A. Rehman

Publication year - 2017

Publication title -

scientific inquiry and review

Language(s) - English

Resource type - Journals

eISSN - 2521-2435

pISSN - 2521-2427

DOI - 10.32350/sir/11/010101

Subject(s) - mathematics , matrix exponential , boundary value problem , exponential function , heat equation , order (exchange) , mathematical analysis , boundary (topology) , matrix (chemical analysis) , derivative (finance) , function (biology) , differential equation , materials science , finance , evolutionary biology , financial economics , economics , composite material , biology

In this paper, heat equation in two dimensions with non local boundary condition is solved numerically by 2nd order parallel splitting technique. This technique used to approximate spatial derivative and a matrix exponential function is replaced by a rational approximation. Simpson’s 1/3 rule is also used to approximate the non local boundary condition. The results of numerical experiments are checked and compared with the exact solution, as well as with the results already existed in the literature and found to be highly accurate.

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