59
Views
26
CrossRef citations to date
0
Altmetric
Original Articles

A family of second order methods for variable coefficient fourth order parabolic partial differential equations

&
Pages 63-76 | Received 01 Oct 1986, Published online: 19 Mar 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (4)

J. Rashidinia & R. Mohammadi. (2010) Sextic spline solution of variable coefficient fourth-order parabolic equations. International Journal of Computer Mathematics 87:15, pages 3443-3454.
Read now
Deniz Ağırseven & Turgut Öziş. (2010) He's homotopy perturbation method for fourth-order parabolic equations. International Journal of Computer Mathematics 87:7, pages 1555-1568.
Read now
J. Rashidinia & R. Mohammadi. (2009) Numerical Methods Based on Non-Polynomial Sextic Spline for Solution of Variable Coefficient Fourth-Order Wave Equations. International Journal for Computational Methods in Engineering Science and Mechanics 10:4, pages 266-276.
Read now
M. A. ARIGU, E. H. TWIZELL & A. B. GUMEL. (1995) PARALLEL ALGORITHMS FOR FOURTH-ORDER PARABOLIC EQUATIONS. Parallel Algorithms and Applications 6:4, pages 273-286.
Read now

Articles from other publishers (22)

Meshari Alesemi. (2023) Numerical Analysis of Fractional-Order Parabolic Equation Involving Atangana–Baleanu Derivative. Symmetry 15:1, pages 237.
Crossref
Nasir Ali, Rashid Nawaz, Anwar Saeed, Taza Gul & Ebenezer Bonyah. (2022) NTIM solution of the fractional order parabolic partial differential equations. Open Physics 20:1, pages 905-918.
Crossref
Muhammad Amin Sadiq Murad. (2022) Modified integral equation combined with the decomposition method for time fractional differential equations with variable coefficients. Applied Mathematics-A Journal of Chinese Universities 37:3, pages 404-414.
Crossref
Muhammad Naeem, Omar Fouad Azhar, Ahmed M. Zidan, Kamsing Nonlaopon & Rasool Shah. (2021) Numerical Analysis of Fractional-Order Parabolic Equations via Elzaki Transform. Journal of Function Spaces 2021, pages 1-10.
Crossref
Ravi P. Agarwal, Fatemah Mofarreh, Rasool Shah, Waewta Luangboon & Kamsing Nonlaopon. (2021) An Analytical Technique, Based on Natural Transform to Solve Fractional-Order Parabolic Equations. Entropy 23:8, pages 1086.
Crossref
Ömer ORUÇ, Alaattin ESEN & Fatih BULUT. (2021) Numerical investigation of dynamic Euler-Bernoulli equation via 3-Scale Haar wavelet collocation method. Hacettepe Journal of Mathematics and Statistics 50:1, pages 159-179.
Crossref
Dessalegn Mekonnen Yadeta, Ademe Kebede Gizaw & Yesuf Obsie Mussa. (2020) Approximate Analytical Solution of One-Dimensional Beam Equations by Using Time-Fractional Reduced Differential Transform Method. Journal of Applied Mathematics 2020, pages 1-13.
Crossref
P.K. Pandey. (2020) A Coupled Unified Difference Method for Numerical Solution of the Initial Boundary Value Fourth Order Parabolic Problems. Journal of Computational and Engineering Mathematics 7:4, pages 35-47.
Crossref
Muhammad Nadeem, Fengquan Li & Hijaz Ahmad. (2019) Modified Laplace variational iteration method for solving fourth-order parabolic partial differential equation with variable coefficients. Computers & Mathematics with Applications 78:6, pages 2052-2062.
Crossref
Meng Koon Lee, Mohammad Hosseini Fouladi & Satesh Narayana Namasivayam. (2017) Natural frequencies of thin rectangular plates using homotopy-perturbation method. Applied Mathematical Modelling 50, pages 524-543.
Crossref
R.K. Mohanty, Sean McKee & Deepti Kaur. (2017) A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation. Applied Mathematics and Computation 309, pages 272-280.
Crossref
R.K. Mohanty & Deepti Kaur. (2016) High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations. Applied Mathematics and Computation 273, pages 678-696.
Crossref
Mohamed El-Gamel. (2014) A note on solving the fourth-order parabolic equation by the sinc-Galerkin method. Calcolo 52:3, pages 327-342.
Crossref
V.G. Gupta & Sumit Gupta. (2013) ANALYTICAL SOLUTION OF SINGULAR FOURTH ORDER PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS OF VARIABLE COEFFICIENTS BY USING HOMOTOPY PERTURBATION TRANSFORM METHOD. Journal of applied mathematics & informatics 31:1_2, pages 165-177.
Crossref
Liyun Su, Tianshun Yan, Yanyong Zhao & Fenglan Li. (2012) Local Polynomial Regression Solution for Partial Differential Equations with Initial and Boundary Values. Discrete Dynamics in Nature and Society 2012, pages 1-11.
Crossref
Najeeb Alam Khan, Nasir-Uddin Khan, Muhammad Ayaz, Amir Mahmood & Noor Fatima. (2011) Numerical study of time-fractional fourth-order differential equations with variable coefficients. Journal of King Saud University - Science 23:1, pages 91-98.
Crossref
Muhammad Aslam Noor, Khalida Inayat Noor & Syed Tauseef Mohyud-Din. (2009) Modified variational iteration technique for solving singular fourth-order parabolic partial differential equations. Nonlinear Analysis: Theory, Methods & Applications 71:12, pages e630-e640.
Crossref
J. Biazar & H. Ghazvini. (2007) He?s variational iteration method for fourth-order parabolic equations. Computers & Mathematics with Applications 54:7-8, pages 1047-1054.
Crossref
Abdul-Majid Wazwaz. (2002) Exact solutions for variable coefficients fourth-order parabolic partial differential equations in higher-dimensional spaces. Applied Mathematics and Computation 130:2-3, pages 415-424.
Crossref
Graeme Fairweather & Morrakot Khebchareon. 2002. Trends in Industrial and Applied Mathematics. Trends in Industrial and Applied Mathematics 219 250 .
Abdul-Majid Wazwaz. (2001) Analytic treatment for variable coefficient fourth-order parabolic partial differential equations. Applied Mathematics and Computation 123:2, pages 219-227.
Crossref
A.Q.M. Khaliq. (1989) A predictor-corrector scheme for fourth order parabolic partial differential equations. Computers & Mathematics with Applications 17:12, pages 1563-1566.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.