Numerical methods for the multiplicative partial differential equations

• Autorzy: Muhammet Yazıcı , Harun Selvitopi
• Języki publikacji: EN

Abstrakty

EN

We propose the multiplicative explicit Euler, multiplicative implicit Euler, and multiplicative Crank-Nicolson algorithms for the numerical solutions of the multiplicative partial differential equation. We also consider the truncation error estimation for the numerical methods. The stability of the algorithms is analyzed by using the matrix form. The result reveals that the proposed numerical methods are effective and convenient.

Słowa kluczowe

EN

Finite difference methods; Multiplicative calculus; Partial differential equation; Stability analysis

Kategorie tematyczne

• 65M06: Finite difference methods
• 35K05: Heat equation

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1344-1350

Daty

wydano

2017-01-01

otrzymano

2017-06-14

zaakceptowano

2017-10-12

online

2017-11-22

Twórcy

autor

Muhammet Yazıcı

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autor

Harun Selvitopi

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Identyfikatory

DOI

10.1515/math-2017-0113