Numerical method for solving two-dimensional nonlinear Hammerstein-Fredholm fuzzy functional integral equations

Georgieva, Atanaska; Naydenova, Iva

doi:10.1063/5.0041601

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Hpm For Solving Btii-ff-ieq2

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2024

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“…To acquire the APxSn of equations ( 11) and ( 12) using HPM. First, we rewrite the equation (11) to applying HPM as below. Reviewing equation ( 6) as…”

Section: Hpm For Solving Btii-ff-ieqmentioning

confidence: 99%

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Homotopy Perturbation Method with Analytics for solving Bivariate type II Fuzzy Fredholm Integral Equations

Sajid Hussain,

Shafqat Ali,

Abdul Salam

et al. 2024

VFAST trans. math.

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A numerical scheme known as homotopy perturbation method (HPM) is a powerful tool for solving a wide range of problems arising in several scientific applications. In this manuscript, we focus on bivariate type II fuzzy fredholm integral equations (BTII-FF-IEqs) to obtain fuzzy approximate solutions using HPM. The efficiency and effectiveness of the approach is tested upon numerical example and the obtained numerical results are compared with the existing exact solutions. The results reveal that the proposed method is straightforward, accurate and convenient.

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“…To acquire the APxSn of equations ( 11) and ( 12) using HPM. First, we rewrite the equation (11) to applying HPM as below. Reviewing equation ( 6) as…”

Section: Hpm For Solving Btii-ff-ieqmentioning

confidence: 99%

“…Now, using equation ( 14), we compare terms alike powers of q as So, for equation (11), the iterative formula is as…”

Section: Hpm For Solving Btii-ff-ieqmentioning

confidence: 99%

Homotopy Perturbation Method with Analytics for solving Bivariate type II Fuzzy Fredholm Integral Equations

Sajid Hussain,

Shafqat Ali,

Abdul Salam

et al. 2024

VFAST trans. math.

View full text Add to dashboard Cite

show abstract

Numerical method for solving two-dimensional nonlinear Hammerstein-Fredholm fuzzy functional integral equations

Cited by 1 publication

References 23 publications

Homotopy Perturbation Method with Analytics for solving Bivariate type II Fuzzy Fredholm Integral Equations

Homotopy Perturbation Method with Analytics for solving Bivariate type II Fuzzy Fredholm Integral Equations

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