Numerical Blow-up Analysis for Fractional Ordinary Differential Equations with Linearly Implicit L1 Method

Wang, Q.; Wang, Z. K.

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Title: Numerical Blow-up Analysis for Fractional Ordinary Differential Equations with Linearly Implicit L1 Method

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1829-1163

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Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան

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1-14

Abstract:

In this paper, we consider the blow-up behaviorof linearly implicit L1 method for fractional ordinary differentialequations. Based on Nakagawa’s criteria, a suitable adaptivestep strategy is introduced. The existence of global numericalsolution is proved. Moreover, we show that the finite blow-upbehaviors are replicated for any positive solution. Finally, somenumerical examples are given to test the main result․

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oai:arar.sci.am:440029

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Electronic Open Access Publication of the National Academy of Sciences of Armenia

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ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Subject and keywords:

Mathematics Fractional Ordinary Differential Equations Linearly ImplicitL1 Method Global Existence Blow-up

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Sep 4, 2026

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Sep 4, 2026

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https://arar.sci.am/publication/474422

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Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

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Wang, Q., Numerical Blow-up Analysis for Fractional Ordinary Differential Equations with Linearly Implicit L1 Method	Sep 4, 2026

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Title: Numerical Blow-up Analysis for Fractional Ordinary Differential Equations with Linearly Implicit L1 Method

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