Solution of Wave Equations and Heat Equations Using HPM

Fatima, Nahid; Daniel, Sunita

doi:10.1007/978-3-030-01123-9_36

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2021

2024

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Cited by 4 publications

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“…Several researchers have successfully employed the variational iteration method. The VIM (Variational Iteration Method) has been utilized in various applications, such as the nonlinear Boltzmann equation [3], Burger's and coupled Burger's equations [4], partial differential equation [5], parabolic integro-differential equations related to heat conduction in materials with memory [6], coupled Korteweg-de Vries (KdV) and Boussinesq-like B(m, n) equations [7], and Sawada-Kotera equations [8].…”

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confidence: 99%

Variational Iteration Method for Solving Nonlinear Partial Differential Equations in Fluid Dynamics

Fatima,

Haque

2023

Preprint

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In this work, the analytical treatment of Fourth order pd equations has been discussed with the variational iteration algorithm with an auxiliary parameter. The technique has the capability of reducing the size of computational work and easily overcomes the difficulty of the perturbation method or Adomian polynomials. Comparison with the classic variational iteration algorithm- is carried out, showing that the modification is more efficient and reliable.

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