Homotopy perturbation method for kinetic analysis of thermal inactivation of jack bean urease

Sobamowo, M. G.; Adeleye, O.A

doi:10.1016/j.kijoms.2017.10.003

Cited by 4 publications

(5 citation statements)

References 32 publications

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“…These include the homotopy perturbation method (HPM), [1][2][3][4][5][6] energy balance method, [7][8][9][10] amplitude-frequency formulation, 11,12 variational iteration method, [13][14][15][16][17][18] and parameter expanding method. 19,20 The HPM given by He et al [1][2][3][4][5] is applied to provide solutions to differential and integral equations-linear and nonlinear. The method is known to pair the traditional perturbation technique with the homotopy in topology.…”

Section: Introductionmentioning

confidence: 99%

“…Over the years, different solution techniques have been established. These include the homotopy perturbation method (HPM), 1–6 energy balance method, 7–10 amplitude–frequency formulation, 11,12 variational iteration method, 13–18 and parameter expanding method. 19,20…”

Section: Introductionmentioning

confidence: 99%

“…The HPM given by He et al. 1–5 is applied to provide solutions to differential and integral equations—linear and nonlinear. The method is known to pair the traditional perturbation technique with the homotopy in topology.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analytical solutions of nonlinear oscillator with coordinate-dependent mass and Euler–Lagrange equation using the parameterized homotopy perturbation method

Adamu

Ogenyi

Tahir

2019

Journal of Low Frequency Noise, Vibration and Active Control

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analytical solutions of nonlinear oscillator with coordinate-dependent mass and Euler–Lagrange equation using the parameterized homotopy perturbation method

Adamu

Ogenyi

Tahir

2019

Journal of Low Frequency Noise, Vibration and Active Control

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show abstract

“…Therefore, for the purpose of generating a symbolic solution for the nonlinear equations, we made a recourse homotopy perturbation method. The principle and the procedures of the method can be found in our previous works [46,47].…”

Section: Homotopy Perturbation Methodsmentioning

confidence: 99%

Nonlinear vibrations of single- and double-walled carbon nanotubes resting on two-parameter foundation in a magneto-thermal environment

et al. 2019

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The excellent mechanical, electrical, structural and thermal properties coupled with high strength to weight ratio of carbon nanotubes have tremendously expanded their applications in various industrial, engineering, physical and natural sciences processes. In this work, nonlocal elasticity theory is used to analyze nonlinear vibrations of single and doublewalled carbon nanotubes resting on two-parameter foundation in a thermal and magnetic environment. With the aid of Galerkin decomposition method, the systems of nonlinear partial differential equations are transformed into systems of nonlinear ordinary differential equations which are solved using homotopy perturbation method. The developed analytical solutions are used to investigate the influences of elastic foundations, magnetic field, temperature rise, interlayer forces, small scale parameter and boundary conditions on the frequency ratio. From the results, it is observed that the frequency ratio for all boundary conditions decreases as the number of walls increases from single to double. Also, it is established that the frequency ratio is highest for clamped-simple supported and lowest for clamped-clamped supported. Additionally, the results revealed that the frequency ratio decreases with increase in the value of spring constant (k 1) temperature and magnetic field strength. This work will enhance the applications of carbon nanotubes in structural, electrical, mechanical and biological applications especially in a thermal and magnetic environment.

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“…Some of these techniques include non-perturbative method, [1][2][3][4][5] weighted linearization, 6 Adomian decomposition, [7][8][9][10][11][12][13][14] variational iteration, [15][16][17][18][19][20] energy balance, [21][22][23] tanh, [24][25][26] F-expansion, 27,28 and homotopy perturbation methods. [29][30][31][32][33][34] Most of the methods have recorded recent advancements and improvements, as evidenced in the homotopy perturbation method. Since its inception in 1998, 35,36 the homotopy perturbation has passed many forms of modifications and improvements.…”

Section: Introductionmentioning

confidence: 99%

A new modification of the homotopy perturbation method

Adamu

Ogenyi

2021

Noise & Vibration Worldwide

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This study proposes a new modification of the homotopy perturbation method. A new parameter alpha is introduced into the homotopy equation in order to improve the results and accuracy. An optimal analysis identifies the parameter alpha, aimed at improving the solutions. A comparative analysis of the proposed method reveals that the new method presents results with higher degree of accuracy and precision than the classic homotopy perturbation method. Absolute error analysis shows the convenience of the proposed method, providing much smaller errors. Two examples are presented: Duffing and Van der pol’s nonlinear oscillators to demonstrate the efficiency, accuracy, and applicability of the new method.

show abstract

Homotopy perturbation method for kinetic analysis of thermal inactivation of jack bean urease

Cited by 4 publications

References 32 publications

Analytical solutions of nonlinear oscillator with coordinate-dependent mass and Euler–Lagrange equation using the parameterized homotopy perturbation method

Analytical solutions of nonlinear oscillator with coordinate-dependent mass and Euler–Lagrange equation using the parameterized homotopy perturbation method

Nonlinear vibrations of single- and double-walled carbon nanotubes resting on two-parameter foundation in a magneto-thermal environment

A new modification of the homotopy perturbation method

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