Abstract
In this paper, collocation method based on sinc function and Bernoulli wavelet is proposed to find numerical solution of pantograph Volterra fuzzy integro-differential equation. In the first step, the fuzzy integro-differential equation is converted to a system of integro-differential equations in crisp case. Then by using the proposed algorithms, this system is reduced to a system of algebraic equations which is solved by Newton’s method. Also convergence analysis of the methods is given. We illustrate the accuracy of these algorithms by two examples and compare the obtaining results and the computational implementations.
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The authors (R. hosseinzadeh and M. Zarebnia) certify that they have NO affiliation with or involvement in any organization or entity with any financial interest, or non-financial interest (such as personal or professional relationships, affiliations, knowledge or beliefs) in the subject matter or materials discussed in this manuscript.
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Hosseinzadeh, R., Zarebnia, M. Application and comparison of the two efficient algorithms to solve the pantograph Volterra fuzzy integro-differential equation. Soft Comput 25, 6851–6863 (2021). https://doi.org/10.1007/s00500-021-05691-8
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DOI: https://doi.org/10.1007/s00500-021-05691-8