A recurrence relation calculator is constructed on the formula to help you out with solving the equation in which the next term is the function of the previous term.
Unwinding and solving mathematical problems can be tricky so this calculator is the perfect tool for you in that regard.
A recurrence relation is an equation that consists of multiple terms and each term is a collective collection or combination of the previous terms.
These relations are used for reducing the complexities of the problems to simpler forms.
There are multiple examples of recurrence relation, but the most simple and comprehensive examples are the tower of Hanoi puzzle and Fibonacci numbers.
The formula has various values, but all of them must be correct because even a single wrong value can cause an error in the whole solution.
The formula of recurrence relation is:
Fn = Fn – 1 + Fn – 2
Now the initial problem is normally an open expression, but by solving the recurrence relation, you will attain a closed expression which means that your ongoing calculation will reach an end.
Solving the recurrence means forming a closed-form solution (a non-recursive function of n). The functions extend as long as factorial, logistics map, Fibonacci map, and much more.
It has a lot of versatility and can be used to solve various mathematical word problems. Different formulas tend to give you different outcomes.
Depending on the problem, the recurrence relation calculator selects the most suitable formula, applies it to the equation, and provides you with the most accurate results.
You will come across some of the best recurrence relation calculators and tools related to recurrence relations that are specifically built for this purpose.
They have multiple formulas and interfaces installed in them. Tag along to find the most suitable one.
Best Recurrence Relation Calculator
1. Planet Calc: Linear Recurrence With Constant Coefficients
Planet Calc is a website that gives you access to more than 900 tools and calculators related to various subjects and topics.
You can find calculators on health, engineering, finance, image processing, stats, math, and a lot more.
There is an option on the website that you can use if you want to suggest or request a calculator that doesn’t already exist on the website.
The recurrence calculator can be found in the ‘Algebra’ section under linear algebra. The design of the calculator is pretty straightforward and simple.
It is structured in a way that is convenient for the user to interact with it.
First, you have to enter the recurrence coefficients and the number of terms you want to calculate. In the second portion of the calculator enter the initial conditions of the recurrence.
The formula for linear recurrence has been given below in case you get confused while writing the inputs.
The UI and design of the website and the calculator are pretty much the same. There isn’t much use of colors and most of the website is just white.
Planet Calc’s orange brand color has been used subtly throughout the website which ends up giving the website a composed look.
There are hardly any advertisements on this website. You probably won’t even notice them.
Once you have entered all the inputs, click the orange ‘CALCULATE’ button and the results will be shown below. The recurrence sequence will be given in a tabular format and you download an excel file directly from the website.
2. The Parma University: Recurrence Relation Solver
The University of Parma is an Italian public based in the province of Parma.
It is a well-known university and has a decent global and national ranking. They offer all sorts of undergraduate and graduate courses for both national and international students.
Although this calculator claims to be associated with Parma University there is no proof of it being related to the institution on the website.
The design of the calculator is totally basic and underwhelming. The calculator consists of only two text boxes where you have to enter your inputs.
In the first box, you have to enter the expression, and in the second one, you need to input the initial conditions.
The valid formats for expressions that can be entered in the calculator are given above so you don’t run into any errors. There hasn’t been any focus on the designing part of the website or calculator.
The whole platform feels like a huge document as all the contents related and unrelated to the calculator are given on a single page without any borders or lines separating them.
This is definitely the least organized website on this list and if a good design is something that you prefer over other things, this calculator isn’t for you.
Click the ‘Solve or approximate’ button after you have entered all your inputs. The page will refresh and you will be directed toward the results.
You might face an error while getting your results, the best way to solve that is to try again and re-enter your inputs.
3. Wichita State University: Solving Recurrence Relations
Wichita State University is a public research university based in Kansas and has a decent ranking among the national American universities. They mainly focus on research and science courses and offer them both graduate and undergrad programs.
This university has developed a few mathematical tools which fortunately also have a recurrence relation-solving tool.
The calculator is actually a small computer coding in which you have to enter a few inputs. You might find the tool a little tricky at the start but you’ll get the hang of it once you start using it.
This calculator has two parts and each of these parts uses a different approach for determining the nth term of the sequence.
Even though it is just a set of codes, Wichita State University’s calculator is pretty organized.
The design of the website is a bit different from a conventional calculator website. Instead of a header and menu all the contents and tools are listed on the left side of the website.
You bring up the contents or hide them from anywhere on the website.
The colors that have been used on the website are according to the official colors of the university and its logo.
Once you have defined your inputs, click ‘Evaluate’ at the bottom of the input window and you will get your output.
Which Calculator is the Best?
The recurrence relation is a complex concept and it is hard to find simple calculators that help you calculate the relation directly.
As you have seen already, there aren’t many calculators related to recurrence relation and adequate calculators in this category are even rarer.
The tools mentioned above provide enough variety that for users with different preferences and requirements these 3 options are sufficient.
It is hard to name one calculator as the best one as these calculators are different from each other in a lot of ways.
If you are looking for a calculator that calculates a recurrence with constant coefficients, Planet Calc is the best choice for you.
It also provides the best design and user experience out of all the calculators on this list. So if you prefer a good design more than anything Planet Calc has you covered.
Parma University’s calculator is an authentic recurrence relation calculator which can be a good option for users looking for exactly that, as recurrence relation calculators are rare.
But, it has a very poor design and an organized UI which can be a deal breaker for a lot of users.
It is hard to compare Wichita State University’s tool with the rest of the calculators as it has a totally different layout and functionality.
If you feel comfortable with its input style, this tool guarantees a smooth and seamless experience.
Choosing the best recurrence relation calculator comes down to the preferences and comfort of each individual.
A recurrence relation calculator can be a very useful tool if you can find the ringtone. There aren’t many options available on the internet when it comes to calculators of this category.
But, there are plenty of tools that can help you with various components of recurrence relation problems.
All of the calculators mentioned above are well-qualified and will give you the answers that you are looking for.
Make sure you go through each one of them thoroughly and try them all out. Just stick with the one that feels right for you.