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Optimal time-dependent SUC model for COVID-19 pandemic in India

BMC infectious diseases, 2024-09, Vol.24 (1), p.1031-12, Article 1031

2024

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Classification of ternary data using the ternary Allen–Cahn system for small datasets

AIP advances, 2022-06, Vol.12 (6), p.065324-065324-7

2022

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Unconditionally stable second-order accurate scheme for a parabolic sine-Gordon equation

AIP advances, 2022-02, Vol.12 (2), p.025203-025203-7

2022

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Estimation and prediction of the multiply exponentially decaying daily case fatality rate of COVID-19

The Journal of supercomputing, 2023, Vol.79 (10), p.11159-11169

2023

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An unconditionally stable splitting method for the Allen–Cahn equation with logarithmic free energy

Journal of engineering mathematics, 2022-02, Vol.132 (1), Article 18

2022

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A fast and efficient numerical algorithm for image segmentation and denoising

AIMS mathematics, 2024, Vol.9 (2), p.5015-5027

2024

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Stability analysis of an explicit numerical scheme for the Allen-Cahn equation with high-order polynomial potentials

AIMS mathematics, 2024-07, Vol.9 (7), p.19332-19344

2024

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An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation

Journal of nonlinear science, 2022, Vol.32 (6), p.80-80, Article 80

2022

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An explicit fourth-order accurate compact method for the Allen-Cahn equation

AIMS mathematics, 2024, Vol.9 (1), p.735-762

2024

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Semi-automatic fingerprint image restoration algorithm using a partial differential equation

AIMS mathematics, 2023-01, Vol.8 (11), p.27528-27541

2023

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An Adaptive Time-Stepping Algorithm for the Allen–Cahn Equation

Journal of function spaces, 2022, Vol.2022, p.1-12

2022

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Benchmark Problems for the Numerical Schemes of the Phase-Field Equations

Discrete dynamics in nature and society, 2022, Vol.2022 (1)

2022

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Unconditionally stable monte carlo simulation for solving the multi-dimensional Allen–Cahn equation

Electronic research archive, 2023-01, Vol.31 (8), p.5104-5123

2023

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A maximum principle of the Fourier spectral method for diffusion equations

Electronic research archive, 2023-01, Vol.31 (9), p.5396-5405

2023

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An Unconditionally Stable Difference Scheme for the Two-Dimensional Modified Fisher–Kolmogorov–Petrovsky–Piscounov Equation

Journal of mathematics (Hidawi), 2023, Vol.2023, p.1-14

2023

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An Unconditionally Stable Positivity-Preserving Scheme for the One-Dimensional Fisher–Kolmogorov–Petrovsky–Piskunov Equation

Discrete dynamics in nature and society, 2021-10, Vol.2021, p.1-11

2021

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Reconstructing the Local Volatility Surface from Market Option Prices

Mathematics (Basel), 2022-07, Vol.10 (14), p.2537

2022

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Linear Stability Analysis of the Cahn–Hilliard Equation in Spinodal Region

Journal of function spaces, 2022, Vol.2022, p.1-11

2022

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Optimal Orientation of Solar Panels for Multi-Apartment Buildings

Mathematics (Basel), 2023-02, Vol.11 (4), p.938

2023

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Nonuniform Finite Difference Scheme for the Three-Dimensional Time-Fractional Black–Scholes Equation

Journal of function spaces, 2021, Vol.2021, p.1-11

2021

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A conservative Allen–Cahn equation with a curvature-dependent Lagrange multiplier

Applied mathematics letters, 2022-04, Vol.126, p.107838, Article 107838

2022

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A modified Allen–Cahn equation with a mesh size-dependent interfacial parameter on a triangular mesh

Computer physics communications, 2024-11, Vol.304, p.109301, Article 109301

2024

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Weighted 3D volume reconstruction from series of slice data using a modified Allen–Cahn equation

Pattern recognition, 2022-12, Vol.132, p.108914, Article 108914

2022

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Positivity preserving and unconditionally stable numerical scheme for the three-dimensional modified Fisher–Kolmogorov–Petrovsky–Piskunov equation

Journal of computational and applied mathematics, 2025-03, Vol.457, p.116273, Article 116273

2025

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A structure-preserving explicit numerical scheme for the Allen–Cahn equation with a logarithmic potential

Journal of mathematical analysis and applications, 2024-10, Vol.538 (1), p.128425, Article 128425

2024

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Optimal time-dependent SUC model for COVID-19 pandemic in India

Classification of ternary data using the ternary Allen–Cahn system for small datasets

Unconditionally stable second-order accurate scheme for a parabolic sine-Gordon equation

Estimation and prediction of the multiply exponentially decaying daily case fatality rate of COVID-19

An unconditionally stable splitting method for the Allen–Cahn equation with logarithmic free energy

A fast and efficient numerical algorithm for image segmentation and denoising

Stability analysis of an explicit numerical scheme for the Allen-Cahn equation with high-order polynomial potentials

An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation

An explicit fourth-order accurate compact method for the Allen-Cahn equation

Semi-automatic fingerprint image restoration algorithm using a partial differential equation

An Adaptive Time-Stepping Algorithm for the Allen–Cahn Equation

Benchmark Problems for the Numerical Schemes of the Phase-Field Equations

Unconditionally stable monte carlo simulation for solving the multi-dimensional Allen–Cahn equation

A maximum principle of the Fourier spectral method for diffusion equations

An Unconditionally Stable Difference Scheme for the Two-Dimensional Modified Fisher–Kolmogorov–Petrovsky–Piscounov Equation

An Unconditionally Stable Positivity-Preserving Scheme for the One-Dimensional Fisher–Kolmogorov–Petrovsky–Piskunov Equation

Reconstructing the Local Volatility Surface from Market Option Prices

Linear Stability Analysis of the Cahn–Hilliard Equation in Spinodal Region

Optimal Orientation of Solar Panels for Multi-Apartment Buildings

Nonuniform Finite Difference Scheme for the Three-Dimensional Time-Fractional Black–Scholes Equation

A conservative Allen–Cahn equation with a curvature-dependent Lagrange multiplier

A modified Allen–Cahn equation with a mesh size-dependent interfacial parameter on a triangular mesh

Weighted 3D volume reconstruction from series of slice data using a modified Allen–Cahn equation

Positivity preserving and unconditionally stable numerical scheme for the three-dimensional modified Fisher–Kolmogorov–Petrovsky–Piskunov equation

A structure-preserving explicit numerical scheme for the Allen–Cahn equation with a logarithmic potential

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