scientific article; zbMATH DE number 7335993

zbMath1462.35018MaRDI QIDQ4984903

Serpil Şahin, Derya Aydın

Publication date: 21 April 2021

Full work available at URL: https://pjm.ppu.edu/sites/default/files/papers/PJM_NOV_2020_120_to_127.pdf

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zbMATH Keywords

Adomian decomposition methodCrank-Nicolson methodhomotopy perturbation method

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35)

Cites Work

• Exact solutions for non-linear Schrödinger equations by He's homotopy perturbation method
• A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. (Reprint)
• Homotopy-perturbation method for pure nonlinear differential equation
• An adaptation of the decomposition method for asymptotic solutions
• A review of the decomposition method in applied mathematics
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation technique
• The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
• Homotopy perturbation method for thin film flow of a third-grade fluid down an inclined plane
• Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
• Cohomological topics in group theory.
• On the expected number of generators of a submodule of a free module over a finite special principal ideal ring
• On the ideal theory of commutative semi-groups
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