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Tempered nonlocal integrodifferential equations with nonsmooth solution data
Qiao, Leijie Yan, Yubin
Qiao, Leijie
Yan, Yubin
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2024-07-23
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Abstract
This work on the time discretization for the solution of the tempered nonlocal integro-differential equation with smooth and nonsmooth initial data are extended. We find the difficulty arising from theoretical analysis can be overcome by Laplace transform technique. A mount of proof skills have been provided based on Laplace transform technique for this kind of equations. The Laplace transform method is employed effectively to show that the proposed interpolating quadrature scheme is convergence for smooth and non-smooth initial data in both homogeneous and inhomogeneous cases.
Citation
Qiao, L., & Yan, Y. (2024). Tempered nonlocal integrodifferential equations with nonsmooth solution data. Applied Mathematics Letters, 158, article-number 109213. https://doi.org/10.1016/j.aml.2024.109213
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Elsevier
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Applied Mathematics Letters
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10.1016/j.aml.2024.109213
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0893-9659
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