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Applicable Analysis
An International Journal
Volume 62, 1996 - Issue 1-2
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Original Articles

Blowing-up and asymptotic behaviour of solutions for a finite difference system

C. V. Pao Department of Mathematics, North Carolina State University, Raleigh, 27695-8205, North Carolina
Pages 29-38 | Received 01 Apr 1996, Published online: 20 Jan 2011

Citations (11)

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Yuan-Ming Wang & Yuan Gong. (2010) Numerical solutions of a nonlinear reaction-diffusion system. International Journal of Computer Mathematics 87:9, pages 1975-2002.
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Articles from other publishers (10)

Abdelouahed Alla Hamou, El Houssine Azroul, Zakia Hammouch & Abdelilah Lamrani Alaoui. (2022) A monotone iterative technique combined to finite element method for solving reaction-diffusion problems pertaining to non-integer derivative. Engineering with Computers 39:4, pages 2515-2541.
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Igor Boglaev. (2012) On modified accelerated monotone iterates for solving semilinear parabolic problems. Applied Numerical Mathematics 62:12, pages 1849-1863.
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Igor Boglaev. (2011) Uniform convergent monotone iterates for semilinear singularly perturbed parabolic problems. Journal of Computational and Applied Mathematics 235:12, pages 3541-3553.
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Igor Boglaev. (2011) Monotone iterates with quadratic convergence rate for solving weighted average approximations to semilinear parabolic problems. Applied Mathematics and Computation 217:13, pages 6390-6400.
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C. V. Pao & Xin Lu. (2010) Block Monotone Iterative Method for Semilinear Parabolic Equations with Nonlinear Boundary Conditions. SIAM Journal on Numerical Analysis 47:6, pages 4581-4606.
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C.V. Pao. (2002) Finite difference reaction–diffusion systems with coupled boundary conditions and time delays. Journal of Mathematical Analysis and Applications 272:2, pages 407-434.
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Yuan-Ming Wang. (2001) Asymptotic behavior of the numerical solutions for a system of nonlinear integrodifferential reaction–diffusion equations. Applied Numerical Mathematics 39:2, pages 205-223.
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C. V. Pao. (2001) Numerical Methods for Time-Periodic Solutions of Nonlinear Parabolic Boundary Value Problems. SIAM Journal on Numerical Analysis 39:2, pages 647-667.
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C. V. Pao. (1999) Numerical Analysis of Coupled Systems of Nonlinear Parabolic Equations. SIAM Journal on Numerical Analysis 36:2, pages 393-416.
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C. V. Pao. (1998) Monotone iterations for numerical solutions of reaction-diffusion-convection equations with time delay. Numerical Methods for Partial Differential Equations 14:3, pages 339-351.
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