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Added the implementation for bijection method binary to decimal and Euler method #251

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27 changes: 27 additions & 0 deletions maths/bisection_method.ts
Original file line number Diff line number Diff line change
@@ -0,0 +1,27 @@
/**
* @function bisectionMethod
* @description Bisection method is a root-finding method that applies to any continuous function for which one knows two values with opposite signs.
* @param {number} a - The first value
* @param {number} b - The second value
* @param {number} e - The error value
* @param {Function} f - The function
* @return {number} - The root of the function
* @see [BisectionMethod](https://en.wikipedia.org/wiki/Bisection_method)
* @example bisectionMethod(1, 2, 0.01, (x) => x**2 - 2) = 1.4140625
* @example bisectionMethod(1, 2, 0.01, (x) => x**2 - 3) = 1.732421875
*/

export const bisectionMethod = (a: number, b: number, e: number, f: Function): number => {
let c = a
while ((b - a) >= e) {
c = (a + b) / 2
if (f(c) === 0.0) {
break
} else if (f(c) * f(a) < 0) {
b = c
} else {
a = c
}
}
return c
}
20 changes: 20 additions & 0 deletions maths/decimal_convert.ts
Original file line number Diff line number Diff line change
@@ -0,0 +1,20 @@
/**
* @function decimalConvert
* @description Convert the binary to decimal.
* @param {string} binary - The input binary
* @return {number} - Decimal of binary.
* @see [DecimalConvert](https://www.programiz.com/javascript/examples/binary-decimal)
* @example decimalConvert(1100) = 12
* @example decimalConvert(1110) = 14
*/

export const decimalConvert = (binary: string): number => {
let decimal = 0
let binaryArr = binary.split('').reverse()

for (let i = 0; i < binaryArr.length; i++) {
decimal += parseInt(binaryArr[i]) * Math.pow(2, i)
}

return decimal
}
25 changes: 25 additions & 0 deletions maths/euler_method.ts
Original file line number Diff line number Diff line change
@@ -0,0 +1,25 @@
/**
* @function eulerMethod
* @description Euler's method is a first-order numerical procedure for solving ordinary differential equations (ODEs) with a given initial value.
* @param {number} x0 - The initial value of x
* @param {number} y0 - The initial value of y
* @param {number} h - The step size
* @param {number} n - The number of iterations
* @param {Function} f - The function
* @return {number} - The value of y at x
* @see [EulerMethod](https://en.wikipedia.org/wiki/Euler_method)
* @example eulerMethod(0, 1, 0.1, 10, (x, y) => x + y) = 2.5937424601
* @example eulerMethod(0, 1, 0.1, 10, (x, y) => x * y) = 1.7715614317
*/

export const eulerMethod = (x0: number, y0: number, h: number, n: number, f: Function): number => {
let x = x0
let y = y0

for (let i = 1; i <= n; i++) {
y = y + h * f(x, y)
x = x + h
}

return y
}