Finding Optimal Results in the Homotopy Analysis Method to Solve Fuzzy Integral Equations

Araghi, Mohammad Ali Fariborzi; Noeiaghdam, Samad

doi:10.1007/978-3-030-73711-5_7

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2022

2024

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Cited by 7 publications

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“…In some schemes, by combining the HAM by other methods or operators we can construct new methods such as combining the HAM and Laplace transformations (HATM) [11,29,39,45], optimal homotopy analysis method [38], discrete homotopy analysis method [7,58], predictor homotopy analysis method [1,51,52], homotopy analysis Sumudu transform method [28,54] and many others [2,9,48,50].…”

Section: Introductionmentioning

confidence: 99%

An efficient method to solve the mathematical model of HIV infection for CD8+ T-cells

Noeiaghdam,

Ghiasi

2019

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In this paper, the mathematical model of HIV infection for CD8 + T-cells is illustrated. The homotopy analysis method and the Laplace transformations are combined for solving this model. Also, the convergence theorem is proved to demonstrate the abilities of presented method for solving non-linear mathematical models. The numerical results for N = 5, 10 are presented. Several -curves are plotted to show the convergence regions of solutions. The plots of residual error functions indicate the precision of presented method.

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