A NUMERICAL METHOD FOR SOLVING RICATTI DIERENTIAL EQUATIONS

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MASJED JAMEI MOHAMMAD; Salehi Shayegan A.H.

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2017 | Volume:12 | Issue:2 Page(s): 51-71

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Information Journal Paper

Title

A NUMERICAL METHOD FOR SOLVING RICATTI DIERENTIAL EQUATIONS

Author(s)

MASJED JAMEI MOHAMMAD | Salehi Shayegan A.H. | Issue Writer Certificate

Keywords

RICCATI DIFFERENTIAL EQUATIONS

ADAMS-BASHFORTH RULES

WEIGHTING FACTOR

NONLINEAR DIFFERENTIAL EQUATIONS

STIRLING NUMBERS

Abstract

By adding a suitable real function on both sides of the quadratic Riccati differential equation, we propose a weighted type of ADAMS-BASHFORTH RULES for solving it, in which moments are used instead of the constant coefficients of ADAMS-BASHFORTH RULES. Numerical results reveal that the proposed method is efficient and can be applied for other nonlinear problems.

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APA: Copy

MASJED JAMEI, MOHAMMAD, & Salehi Shayegan, A.H.. (). . , (), -. SID. https://sid.ir/paper/310453/en

Vancouver: Copy

MASJED JAMEI MOHAMMAD, Salehi Shayegan A.H.. . [Internet]. ;():-. Available from: https://sid.ir/paper/310453/en

IEEE: Copy

MOHAMMAD MASJED JAMEI, and A.H. Salehi Shayegan, “,” , vol. , no. , pp. –, , [Online]. Available: https://sid.ir/paper/310453/en

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