Can I solve linear Fractional Order Differential Equation using Predictor-Corrector Algorithm?

07 July 2019 1 10K Report

I have solved nonlinear FODE for an IVP, but in case of solving linear FODE, my question is can I solve the linear set of equations using the same algorithm?

Thank you in advance.

A. M. Abdallah

Dear Dr.

Ramashis Banerjee

Greating!

It is my pleasure to help you, you can read the following links

https://link.springer.com/article/10.1023/A:1016592219341

https://www.researchgate.net/publication/30067715_A_Predictor-Corrector_Approach_for_the_Numerical_Solution_of_Fractional_Differential_Equations

https://www.researchgate.net/publication/317278881_Predictor-corrector_approach_for_solving_fractional_differential_equations_FDEs

https://www.semanticscholar.org/paper/A-Predictor-Corrector-Approach-for-the-Numerical-of-Diethelm-Ford/1cfc94f3703bbbff38c9092408389e28219675a7

https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20020024453.pdf

https://arxiv.org/ftp/arxiv/papers/1510/1510.00385.pdf

http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.670.5491&rep=rep1&type=pdf

https://www.mathworks.com/matlabcentral/fileexchange/32918-predictor-corrector-pece-method-for-fractional-differential-equations

With best wishes.

Badges
Science topic

More Ramashis Banerjee's questions See All

How many pages are acceptable for Springer/Elsevier journals in case of review paper??

Dear Colleagues, Now I am writing a review paper in brief but I am facing the problem that my article is tending to 30 pages as it contains most of the equations. I am...

11 December 2019 8,888 1 View

Which SCI/SCIE journals publish work in the field of control system with high acceptance rate??

Dear Colleagues, Could anyone suggest me the name of the SCI/SCIE journals publish work in the field of control system with high acceptance rate? I am working in fractional order optimal...

10 November 2019 7,945 2 View

How to solve fractional order differential equation using HAM or ADM in MATLAB??

I have learnt to solve fractional order differential equation using Homotopy Analysis Method, I am trying to learn Adomian Decomposition Method, please share MATLAB codes to implement HAM or ADM......

09 October 2019 9,870 3 View

How bisection method is used to find the exact initial value to solve a boundary value problem using Shooting method??

I know that there is an initial guess of initial value to solve a BVP using shooting method but it is obtained from literature that bisection method to find the exact initial value, my question is...

08 September 2019 7,846 4 View

How to solve a BVP by using a solver written for IVP in MATLAB??

Sir, I am able to solve an initial value problem of fractional order differential equation in MATLAB using a solver, I would like to know how do I solve a boundary value problem, i.e. integrating...

07 August 2019 618 2 View

How to solve fractional order boundary value problem in MATLAB?

I have solved fractional initial value problems using predictor-corrector algorithm, how do I solve fractional boundary value problem using the same algorithm or other algorithms in MATLAB, please...

07 August 2019 2,351 2 View

Is the same function able to find out the solution of fractional order linear and non-linear differential equations??

I have written a code for solving non-linear fractional order differential equations which exhibits chaotic behavior. I would like to know will the same function able to solve linear fractional...

07 August 2019 9,181 2 View

How to increase citation of my publication?

I would like to know hoe to increase the citation of my publications by increasing its visibility. Please Reply Thank You

06 July 2019 863 7 View

What is the difference between SCI, ESCI, SCIE, Scopus and ISI Journals? Which one has more impact and why?

I would like to know the difference between the different indexing, which are used in differentiating the journals, which are more beneficial to publish and why? Please elaborate with...

06 July 2019 4,050 3 View

How to start collaborative research between my university and reputed global universities?

I am working with epidemic models,which are best described by Fractional order differential equations,this are the part of promising research topics now a days. How do I start collaborative...

05 June 2019 2,115 3 View

Request a single Lecture notes for math as detailed as this that I can find in one place?

- The Existence/Uniqueness of Solutions to Higher Order Linear Differential Equations - Higher Order Homogenous Differential Equations - Wronskian Determinants of $n$ Functions - Wronskian...

03 August 2024 2,366 0 View

What is the acceptable p-value cutoff for GO enrichment analysis ?

I have an RNA-seq data that I have analysed using Limma-voom and have extracted the gene IDs, log2FC and the p-values. At p value < 0.05, I have over 10,000 DEGs, however, when I run the GO...

31 July 2024 223 2 View

Can we find a statistical matrix mechanics equivalent to the Schrödinger equation?

We assume that we can find a statistical matrix mechanics equivalent to Schrödinger's PDE in two consecutive steps: i-Transform the Schrödinger PDE describing the wave function Ψ into its square...

27 July 2024 3,959 4 View

Seeking MATLAB Code for Differential Evolution in Multilevel Thresholding Image Segmentation ?

Hello, I am a research scholar currently working on a project involving image segmentation, and I am interested in using differential evolution for this purpose . I would greatly appreciate it if...

25 July 2024 9,923 1 View

Can any one let me know the PDE value for Tert-Butylamine in order to control in the API?

PDE value for Tert-Butylamine

24 July 2024 1,165 0 View

Does democracy have a nonlinear effect on state capacity?

Some research indicates that the fist steps toward democratization of an authoritarian regime actually lowers state capacity. How strong is the evidence for this hypothesis?

14 July 2024 8,238 3 View

Is it true that we can completely neglect partial differential equations, the method of separation of variables and FDM techniques?

We assume that this is true when the statistical matrix mechanics of the so-called Cairo techniques are used to replace PDE and its classical mathematical methods of solution. Moreover, the...

11 July 2024 3,253 2 View

Why does our stiff biochemical ODE model in R produce unreasonable results (negative values, NAM) despite using solvers like lsoda, vode, and rk4)?

We have developed an ODE model comprising 25 interrelated equations with common coefficients. This biochemical model, applied in wastewater treatment, is characterized by stiffness. Utilizing the...

06 July 2024 7,076 4 View

My new vision on “time duality” in heat and wave equations. How can we catch their solutions and qualitative properties?

Greetings mathematicians and physicists, As we know, the idea of assuming a higher space dimension than the natural 3 dimension is effective in solving many physical and mathematical...

29 June 2024 9,217 6 View

What is it's difference between lsoda method in R vs. ODE23 or 45 solver in MATLAB?

What is it's difference between lsoda method in R vs. ODE23 or 45 solver in MATLAB.(especially in wastewater treatment and biochemical processes) I am currently engaged in the development of a...

24 June 2024 9,188 2 View