基于有限元方法求解带有年龄结构的种群模型

Abstract

Abstract: We considered the numerical solution of population model with age structure and random diffusion term. Firstly, we integrated the model, obtained the simplified form of partial differential equation, and gave its variational trentment. Secondly, we used finite element method with equal partition as finite interval to solve model numerically, and gave the full discrete form and error analysis. Finally, we gave a numerical solution and error analysis of poulation model in numerical simulation.

Key words: population model, finite element method, parabolic equation, CrankNicoison form

CLC Number:

O241.82

HAO Yongle, ZUO Ping, ZHU Qing. Population Model with Age Structure Solvedby Finite Element Method [J].Journal of Jilin University Science Edition, 2019, 57(06): 1407-1410.

[1]	NI Yuhui, YANG Ying. Edge-Averaged Finite Element Calculation for a Class of Poisson-Nernst-Planck Equations [J]. Journal of Jilin University Science Edition, 2022, 60(1): 73-0078.
[2]	LI Zhongqing. Existence of Bounded Weak Solutions to a Parabolic Equation with Weight Function [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1066-1070.
[3]	XIE Chunlei, DU Runmei. Approximate Controllability of a Class of Semilinear Degenerate Parabolic Equations with Boundary Control Functions [J]. Journal of Jilin University Science Edition, 2021, 59(3): 563-567.
[4]	ZHAN Huashui, YUAN Hongjun. Uniqueness of Solutions to Degenerate Parabolic Equation with Variable Exponents [J]. Journal of Jilin University Science Edition, 2021, 59(1): 1-6.
[5]	LIU Yaxin, DU Runmei. Approximate Controllability of a Class of Coupled Parabolic Equations with Boundary Degeneracy [J]. Journal of Jilin University Science Edition, 2020, 58(6): 1378-1381.
[6]	QIN Dandan, TANG Xinxin, HUANG Wenzhu. B-Spline Finite Element Method for Fourth Order Parabolic Equations with Variable Coefficient [J]. Journal of Jilin University Science Edition, 2020, 58(5): 1100-1106.
[7]	ZHOU Qian, XU Fengdan, GAO Dong. Approximate Controllability of a Class of Double Coupled Linear Degenerate Parabolic Equations [J]. Journal of Jilin University Science Edition, 2020, 58(5): 1027-1034.
[8]	XIE Chunlei, DU Runmei, YUAN Yuan. Approximate Controllability of Boundary Control Problems for a Class of Degenerate Parabolic Equations [J]. Journal of Jilin University Science Edition, 2019, 57(5): 1141-1143.
[9]	TANG Ming, YANG Ying, LI Xuefang. Two-Grid Finite Element Discretization Methods for a Class of Poisson-Nernst-Planck Equations#br# [J]. Journal of Jilin University Science Edition, 2019, 57(3): 523-529.
[10]	HAO Yongle, ZUO Ping, WU Jingzhu. Solving Grating Diffraction Problem of Random InterfacesBased on Shape Derivative#br# [J]. Journal of Jilin University Science Edition, 2019, 57(3): 530-534.
[11]	LIANG Haojian, LI Huilai. Optimal Control of Resource in Two CompetingSpecies Model with Advection Terms [J]. Journal of Jilin University Science Edition, 2019, 57(3): 500-504.
[12]	ZHU Hongze, LIN Li, ZHOU Chenguang, LV Xianrui. Stability of Weak Galerkin Finite Element Method [J]. Journal of Jilin University Science Edition, 2018, 56(6): 1427-1430.
[13]	DU Runmei. Approximate Controllability of a Class of CoupledDegenerate Parabolic Equations with Gradient Terms#br# [J]. Journal of Jilin University Science Edition, 2018, 56(5): 1140-1142.
[14]	HUO Guanze, LIN Tingxiu, WANG Linjun. B-Methods for Numerical Computation of a Class ofParabolic Equation with Quenching Solutions [J]. Journal of Jilin University Science Edition, 2018, 56(2): 281-285.
[15]	CHEN Guofang, WU Dan, LV Junliang. A Nonstandard Mixed Finite Element Method for SolvingOneDimensional Degenerate Nonlinear Parabolic Problem [J]. Journal of Jilin University Science Edition, 2017, 55(06): 1352-1358.

Population Model with Age Structure Solvedby Finite Element Method

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10