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Solving the 2D and 3D nonlinear inverse source problems of elliptic type partial differential equations by a homogenization function method

Numerical methods for partial differential equations, 2023-03, Vol.39 (2), p.1287-1298

2023

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The eigenvalues of symmetric Sturm-Liouville problem and inverse potential problem, based on special matrix and product formula

Applications of Mathematics, 2024-06, Vol.69 (3), p.355-372

2024

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Solving nonlinear third-order three-point boundary value problems by boundary shape functions methods

Advances in difference equations, 2021-03, Vol.2021 (1), Article 146

2021

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Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions

International journal of nonlinear sciences and numerical simulation, 2020-12, Vol.21 (7-8), p.797-806

2020

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Boundary shape function method for nonlinear BVP, automatically satisfying prescribed multipoint boundary conditions

Boundary value problems, 2020-08, Vol.2020 (1), p.1-22, Article 139

2020

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A new method for the deflection analysis of composite beams with periodically varying interfaces

Zeitschrift für angewandte Mathematik und Mechanik, 2018-05, Vol.98 (5), p.718-726

2018

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Highly accurate algorithms endowing with boundary functions for solving a nonlinear beam equation involving an integral term

Mathematical methods in the applied sciences, 2018-03, Vol.41 (5), p.1855-1869

2018

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Rayleigh quotient and orthogonality in the linear space of boundary functions, finding accurate upper bounds of natural frequencies of non-uniform beams

Archive of applied mechanics (1991), 2020-08, Vol.90 (8), p.1737-1753

2020

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New Memory-Updating Methods in Two-Step Newton’s Variants for Solving Nonlinear Equations with High Efficiency Index

Mathematics (Basel), 2024-02, Vol.12 (4), p.581

2024

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Updating to Optimal Parametric Values by Memory-Dependent Methods: Iterative Schemes of Fractional Type for Solving Nonlinear Equations

Mathematics (Basel), 2024-04, Vol.12 (7), p.1032

2024

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Optimal sources in the MFS by minimizing a new merit function: Energy gap functional

Applied mathematics letters, 2018-12, Vol.86, p.229-235

2018

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The meshless solutions of Laplacian non-harmonic and Cauchy problems by developing novel hybrid methods

Engineering analysis with boundary elements, 2023-12, Vol.157, p.34-43

Liu, Chein-Shan

2023

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Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation

Applied mathematics letters, 2018-10, Vol.84, p.130-136

2018

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A boundary shape function method for analyzing nonlinear composite beams, subjecting to nonlinear boundary moment conditions

Composite structures, 2021-05, Vol.264, p.113636, Article 113636

Liu, Chein-Shan

2021

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Asymptotic Numerical Solutions for Second-Order Quasilinear Singularly Perturbed Problems

Journal of Marine Science and Technology, 2022-01, Vol.29 (6), p.742-755

2022

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Solving Least-Squares Problems via a Double-Optimal Algorithm and a Variant of the Karush–Kuhn–Tucker Equation for Over-Determined Systems

Algorithms, 2024-05, Vol.17 (5), p.211

2024

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Solving singular convection–diffusion equation by exponentially-fitted trial functions and adjoint Trefftz test functions

Journal of King Saud University. Science, 2018-01, Vol.30 (1), p.100-105

Liu, Chein-Shan

2018

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An energetic boundary functional method for solving the inverse heat conductivity problems in arbitrary plane domains

International journal of heat and mass transfer, 2020-04, Vol.151, p.119418, Article 119418

Liu, Chein-Shan

2020

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Identifying space-time dependent force on the vibrating Euler–Bernoulli beam by a boundary functional method

Journal of inverse and ill-posed problems, 2020-06, Vol.28 (3), p.367-378

2020

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A Simplified Lindstedt-Poincaré Method for Saving Computational Cost to Determine Higher Order Nonlinear Free Vibrations

Mathematics (Basel), 2021-12, Vol.9 (23), p.3070

2021

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A Symmetry of Boundary Functions Method for Solving the Backward Time-Fractional Diffusion Problems

Symmetry (Basel), 2024-02, Vol.16 (2), p.191

2024

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Solving singularly perturbed problems by a weak-form integral equation with exponential trial functions

Applied mathematics and computation, 2018-07, Vol.329, p.154-174

Liu, Chein-Shan

2018

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Numerical and Approximate Analytic Solutions of Second- order Nonlinear Boundary Value Problems

Journal of Marine Science and Technology, 2022-01, Vol.30 (6)

2022

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Solving the higher-dimensional nonlinear inverse heat source problems by the superposition of homogenization functions method

International journal of heat and mass transfer, 2019-10, Vol.141, p.651-657

2019

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Optimal shape parameter in the MQ-RBF by minimizing an energy gap functional

Applied mathematics letters, 2018-12, Vol.86, p.157-165

2018

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Solving the 2D and 3D nonlinear inverse source problems of elliptic type partial differential equations by a homogenization function method

The eigenvalues of symmetric Sturm-Liouville problem and inverse potential problem, based on special matrix and product formula

Solving nonlinear third-order three-point boundary value problems by boundary shape functions methods

Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions

Boundary shape function method for nonlinear BVP, automatically satisfying prescribed multipoint boundary conditions

A new method for the deflection analysis of composite beams with periodically varying interfaces

Highly accurate algorithms endowing with boundary functions for solving a nonlinear beam equation involving an integral term

Rayleigh quotient and orthogonality in the linear space of boundary functions, finding accurate upper bounds of natural frequencies of non-uniform beams

New Memory-Updating Methods in Two-Step Newton’s Variants for Solving Nonlinear Equations with High Efficiency Index

Updating to Optimal Parametric Values by Memory-Dependent Methods: Iterative Schemes of Fractional Type for Solving Nonlinear Equations

Optimal sources in the MFS by minimizing a new merit function: Energy gap functional

The meshless solutions of Laplacian non-harmonic and Cauchy problems by developing novel hybrid methods

Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation

A boundary shape function method for analyzing nonlinear composite beams, subjecting to nonlinear boundary moment conditions

Asymptotic Numerical Solutions for Second-Order Quasilinear Singularly Perturbed Problems

Solving Least-Squares Problems via a Double-Optimal Algorithm and a Variant of the Karush–Kuhn–Tucker Equation for Over-Determined Systems

Solving singular convection–diffusion equation by exponentially-fitted trial functions and adjoint Trefftz test functions

An energetic boundary functional method for solving the inverse heat conductivity problems in arbitrary plane domains

Identifying space-time dependent force on the vibrating Euler–Bernoulli beam by a boundary functional method

A Simplified Lindstedt-Poincaré Method for Saving Computational Cost to Determine Higher Order Nonlinear Free Vibrations

A Symmetry of Boundary Functions Method for Solving the Backward Time-Fractional Diffusion Problems

Solving singularly perturbed problems by a weak-form integral equation with exponential trial functions

Numerical and Approximate Analytic Solutions of Second- order Nonlinear Boundary Value Problems

Solving the higher-dimensional nonlinear inverse heat source problems by the superposition of homogenization functions method

Optimal shape parameter in the MQ-RBF by minimizing an energy gap functional

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