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- W3211790505 abstract "We investigate the well-known one-dimensional perturbed Gelfand boundary value problem and approximate the values of α0,λ* and λ* such that this problem has a unique solution when 0<α<α0 and λ>0, and has three solutions when α>α0 and λ*<λ<λ*. The solutions of this problem are always even functions due to its symmetric boundary values and autonomous characteristics. We use numerical computation to show that 4.0686722336<α0<4.0686722344. This result improves the existing result for α0≈4.069 and increases the accuracy of α0 to 10−8. We developed an algorithm that reduces errors and increases efficiency in our computation. The interval of λ for this problem to have three solutions for given values of α is also computed with accuracy up to 10−14." @default.
- W3211790505 created "2021-11-22" @default.
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- W3211790505 date "2021-11-10" @default.
- W3211790505 modified "2023-09-27" @default.
- W3211790505 title "On a Conjecture for the One-Dimensional Perturbed Gelfand Problem for the Combustion Theory" @default.
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- W3211790505 doi "https://doi.org/10.3390/sym13112137" @default.
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